GCF of 12 and 98 is 2

- Find all the numbers that would divide 12 and 98 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 12 and 98, and read off the answer!

- Factors for
**12: 1, 2, 3, 4, 6, 12** - Factors for
**98: 1, 2, 7, 14, 49, 98**

Hence, GCf of
*12*
and
*98*
is **2**

In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (12, 98).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 12 and 98 is 2, where 2 is less than both 12 and 98.
- GCF of two consecutive numbers is always 1.
- The product of GCF and LCM of two given numbers is equal to the product of two numbers.
- The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

- Each number is a factor of itself. Eg. 12 and 98 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 12 and also of 98.
- Every number is a factor of zero (0), since 12 x 0 = 0 and 98 x 0 = 0.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 12 are exact divisors of 12 and 1, 2, 7, 14, 49, 98 are exact divisors of 98.
- Factors of 12 are 1, 2, 3, 4, 6, 12. Each factor divides 12 without leaving a remainder.

Simlarly, factors of 98 are 1, 2, 7, 14, 49, 98. Each factor divides 98 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 12 are all less than or equal to 12 and 1, 2, 7, 14, 49, 98 are all less than or equal to 98.

**Step 1.**Find all the numbers that would divide 12 and 98 without leaving any remainder. Starting with the number 1 upto 6 (half of 12) and 1 upto 49 (half of 98). The number 1 and the number itself are always factors of the given number.12 ÷ 1 : Remainder = 098 ÷ 1 : Remainder = 012 ÷ 2 : Remainder = 098 ÷ 2 : Remainder = 012 ÷ 3 : Remainder = 098 ÷ 7 : Remainder = 012 ÷ 4 : Remainder = 098 ÷ 14 : Remainder = 012 ÷ 6 : Remainder = 098 ÷ 49 : Remainder = 012 ÷ 12 : Remainder = 098 ÷ 98 : Remainder = 0

Hence, Factors of
*12* are **1, 2, 3, 4, 6, and 12**

And, Factors of
*98* are **1, 2, 7, 14, 49, and 98**

Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 12 and 98.

GCF of 12 and 98 is 2.

To find the greatest number of students that could be in each row, we need to find the GCF of 12 and 98. Hence, GCF of 12 and 98 is 2.

Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.

To find the greatest number of tables that Ram can stock we need to find the GCF of 12 and 98. Hence GCF of 12 and 98 is 2. So the number of tables that can be arranged is 2.

The greatest number of boxes Ariel can make would be equal to GCF of 12 and 98. So the GCF of 12 and 98 is 2.

Greatest possible way in which Mary can arrange them in groups would be GCF of 12 and 98. Hence, the GCF of 12 and 98 or the greatest arrangement is 2.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 12 and 98. So the GCF of 12 and 98 is 2.

the greatest number of baskets that Kunal can make would be equal to GCF of 12 and 98. So the GCF of 12 and 98 is 2.

To make the greatest number of envelopes Abir needs to find out the GCF of 12 and 98. Hence, GCF of 12 and 98 is 2.