GCF of 42 and 63 is 21

- Find all the numbers that would divide 42 and 63 without leaving any remainder as explained in factors below.
- Find the greatest common factor from the list of factors for 42 and 63, and read off the answer!

- Factors for
**42: 1, 2, 3, 6, 7, 14, 21, 42** - Factors for
**63: 1, 3, 7, 9, 21, 63**

Hence, GCf of
*42*
and
*63*
is **21**

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 (42, 63).

- Given two numbers 42 and 63, such that GCF is 21 where 21 will always be less than 42 and 63.
- GCF of two numbers is always equal to 1 in case given numbers are consecutive.
- The product of GCF and LCM of two given numbers is equal to the product of two numbers.
- The GCF of two given numbers is either 1 or the number itself if one of them is a prime number.

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. 42 and 63 are factors of themselves respectively.
- 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, 6, 7, 14, 21, 42 are exact divisors of 42 and 1, 3, 7, 9, 21, 63 are exact divisors of 63.
- 1 is a factor of every number. Eg. 1 is a factor of 42 and also of 63.
- Every number is a factor of zero (0), since 42 x 0 = 0 and 63 x 0 = 0.

**Step 1.**Find all the numbers that would divide 42 and 63 without leaving any remainder. Starting with the number 1 upto 21 (half of 42) and 1 upto 31 (half of 63). The number 1 and the number itself are always factors of the given number.42 ÷ 1 : Remainder = 063 ÷ 1 : Remainder = 042 ÷ 2 : Remainder = 063 ÷ 3 : Remainder = 042 ÷ 3 : Remainder = 063 ÷ 7 : Remainder = 042 ÷ 6 : Remainder = 063 ÷ 9 : Remainder = 042 ÷ 7 : Remainder = 063 ÷ 21 : Remainder = 042 ÷ 14 : Remainder = 063 ÷ 63 : Remainder = 042 ÷ 21 : Remainder = 042 ÷ 42 : Remainder = 0

Hence, Factors of
*42* are **1, 2, 3, 6, 7, 14, 21, and 42**

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

GCF and LCM of two numbers can be related as GCF(42, 63) = ( 42 * 63 ) / LCM(42, 63) = 21.

GCF of 42 and 63 is 21.

To find the greatest number of tables that Ram can stock we need to find the GCF of 42 and 63. Hence GCF of 42 and 63 is 21. So the number of tables that can be arranged is 21.

The greatest number of servings Rubel can create would be equal to the GCF of 42 and 63. Thus GCF of 42 and 63 is 21.

The greatest number of boxes Ariel can make would be equal to GCF of 42 and 63. So the GCF of 42 and 63 is 21.

Greatest possible way in which Mary can arrange them in groups would be GCF of 42 and 63. Hence, the GCF of 42 and 63 or the greatest arrangement is 21.

The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 42 and 63. So the GCF of 42 and 63 is 21.

the greatest number of baskets that Kunal can make would be equal to GCF of 42 and 63. So the GCF of 42 and 63 is 21.

To make the greatest number of envelopes Abir needs to find out the GCF of 42 and 63. Hence, GCF of 42 and 63 is 21.