Greatest Common Factor of 63708 and 63714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 63708, 63714 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 63708 and 63714 is 6.

GCF(63708,63714) = 6

GCF of 63708 and 63714

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 63708 and 63714

GCF of 63708 and 63714 is 6

Prime Factorization of 63708


2 63708
2 31854
3 15927
5309 5309
1

Prime factors of 63708 are 2,3,5309. Prime factorization of 63708 in exponential form is:

63708 = 22×31×53091

Prime Factorization of 63714


2 63714
3 31857
7 10619
37 1517
41 41
1

Prime factors of 63714 are 2,3,7,37,41. Prime factorization of 63714 in exponential form is:

63714 = 21×31×71×371×411

∴ So by taking common prime factors GCF of 63708 and 63714 is 6

Greatest Common Factor of 63708 and 63714 by matching factors method

Factors of 63708

List of positive integer factors of 63708 that divides 63708 without a remainder.

1,2,3,4,6,12,5309,10618,15927,21236,31854,63708

Factors of 63714

List of positive integer factors of 63714 that divides 63714 without a remainder.

1,2,3,6,7,14,21,37,41,42,74,82,111,123,222,246,259,287,518,574,777,861,1517,1554,1722,3034,4551,9102,10619,21238,31857,63714

Greatest Common Factor

We found the factors and prime factorization of 63708 and 63714. The biggest common factor number is the GCF number.
So the greatest common factor 63708 and 63714 is 6.

Also check out the Least Common Multiple of 63708 and 63714

Properties of GCF 63708 and 63714

(i) The GCF of 63708 and 63714 is associative

GCF of 63708 and 63714 = GCF of 63714 and 63708

Related Greatest Common Factor of 63708

Related Greatest Common Factor of 63714

Frequently Asked Questions on GCF of 63708 and 63714

1. What is the GCF of 63708 and 63714?

Answer: GCF of 63708 and 63714 is 6.

2. What are the Factors of 63708?

Answer: Factors of 63708 are 1, 2, 3, 4, 6, 12, 5309, 10618, 15927, 21236, 31854, 63708. There are 12 integers that are factors of 63708. The greatest factor of 63708 is 63708.

3. What are the Factors of 63714?

Answer: Factors of 63714 are 1, 2, 3, 6, 7, 14, 21, 37, 41, 42, 74, 82, 111, 123, 222, 246, 259, 287, 518, 574, 777, 861, 1517, 1554, 1722, 3034, 4551, 9102, 10619, 21238, 31857, 63714. There are 32 integers that are factors of 63714. The greatest factor of 63714 is 63714.

4. How to Find the GCF of 63708 and 63714?

Answer:

Greatest Common Factor of 63708 and 63714 = 6

Step 1: Find the prime factorization of 63708

63708 = 2 x 2 x 3 x 5309

Step 2: Find the prime factorization of 63714

63714 = 2 x 3 x 7 x 37 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 63708 and 63714 is 6