GCF of 36 and 63 is 9

- Find all the numbers that would divide 36 and 63 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 36 and 63, and read off the answer!

- Factors for
**36: 1, 2, 3, 4, 6, 9, 12, 18, 36** - Factors for
**63: 1, 3, 7, 9, 21, 63**

Hence, GCf of
*36*
and
*63*
is **9**

In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (36, 63).

- The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 36 and 63 is 9, where 9 is less than both 36 and 63.
- 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 which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

- Each number is a factor of itself. Eg. 36 and 63 are factors of themselves respectively.
- 1 is a factor of every number. Eg. 1 is a factor of 36 and also of 63.
- Every number is a factor of zero (0), since 36 x 0 = 0 and 63 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, 9, 12, 18, 36 are exact divisors of 36 and 1, 3, 7, 9, 21, 63 are exact divisors of 63.
- Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. Each factor divides 36 without leaving a remainder.

Simlarly, factors of 63 are 1, 3, 7, 9, 21, 63. Each factor divides 63 without leaving a remainder. - Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 9, 12, 18, 36 are all less than or equal to 36 and 1, 3, 7, 9, 21, 63 are all less than or equal to 63.

**Step 1.**Find all the numbers that would divide 36 and 63 without leaving any remainder. Starting with the number 1 upto 18 (half of 36) and 1 upto 31 (half of 63). The number 1 and the number itself are always factors of the given number.36 ÷ 1 : Remainder = 063 ÷ 1 : Remainder = 036 ÷ 2 : Remainder = 063 ÷ 3 : Remainder = 036 ÷ 3 : Remainder = 063 ÷ 7 : Remainder = 036 ÷ 4 : Remainder = 063 ÷ 9 : Remainder = 036 ÷ 6 : Remainder = 063 ÷ 21 : Remainder = 036 ÷ 9 : Remainder = 063 ÷ 63 : Remainder = 036 ÷ 12 : Remainder = 036 ÷ 18 : Remainder = 036 ÷ 36 : Remainder = 0

Hence, Factors of
*36* are **1, 2, 3, 4, 6, 9, 12, 18, and 36**

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 36 and 63.

GCF of 36 and 63 is 9.

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(36, 63) = ( 36 * 63 ) / LCM(36, 63) = 9.

GCF of 36 and 63 is 9.

To find the greatest number of tables that Ram can stock we need to find the GCF of 36 and 63. Hence GCF of 36 and 63 is 9. So the number of tables that can be arranged is 9.

The greatest number of servings Rubel can create would be equal to the GCF of 36 and 63. Thus GCF of 36 and 63 is 9.

The greatest number of boxes Ariel can make would be equal to GCF of 36 and 63. So the GCF of 36 and 63 is 9.

Greatest possible way in which Mary can arrange them in groups would be GCF of 36 and 63. Hence, the GCF of 36 and 63 or the greatest arrangement is 9.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 36 and 63. So the GCF of 36 and 63 is 9.