GCF of 49 and 63 is 7

- Find all the numbers that would divide 49 and 63 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 49 and 63, and read off the answer!

- Factors for
**49: 1, 7, 49** - Factors for
**63: 1, 3, 7, 9, 21, 63**

Hence, GCf of
*49*
and
*63*
is **7**

GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (49, 63).

- The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 49 and 63 is 7, where 7 is less than both the numbers.
- If the given numbers are consecutive than GCF is always 1.
- Product of two numbers is always equal to the product of their GCF and LCM.
- 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 which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

- Every factor of a number is an exact divisor of that number, example 1, 7, 49 are exact divisors of 49 and 1, 3, 7, 9, 21, 63 are exact divisors of 63.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 49 and 63 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 49 and also of 63.

**Step 1.**Find all the numbers that would divide 49 and 63 without leaving any remainder. Starting with the number 1 upto 24 (half of 49) and 1 upto 31 (half of 63). The number 1 and the number itself are always factors of the given number.49 ÷ 1 : Remainder = 063 ÷ 1 : Remainder = 049 ÷ 7 : Remainder = 063 ÷ 3 : Remainder = 049 ÷ 49 : Remainder = 063 ÷ 7 : Remainder = 063 ÷ 9 : Remainder = 063 ÷ 21 : Remainder = 063 ÷ 63 : Remainder = 0

Hence, Factors of
*49* are **1, 7, and 49**

And, Factors of
*63* are **1, 3, 7, 9, 21, and 63**

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 49 and 63.

GCF of 49 and 63 is 7.

To find the greatest number of students that could be in each row, we need to find the GCF of 49 and 63. Hence, GCF of 49 and 63 is 7.

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.

GCF and LCM of two numbers can be related as GCF(49, 63) = ( 49 * 63 ) / LCM(49, 63) = 7.

GCF of 49 and 63 is 7.

Greatest possible way in which Mary can arrange them in groups would be GCF of 49 and 63. Hence, the GCF of 49 and 63 or the greatest arrangement is 7.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 49 and 63. So the GCF of 49 and 63 is 7.

the greatest number of baskets that Kunal can make would be equal to GCF of 49 and 63. So the GCF of 49 and 63 is 7.

To make the greatest number of envelopes Abir needs to find out the GCF of 49 and 63. Hence, GCF of 49 and 63 is 7.