Greatest Common Factor of 63672 and 63676

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 63672, 63676 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 63672 and 63676 is 4.

GCF(63672,63676) = 4

GCF of 63672 and 63676

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

GCF of:
and

Greatest Common Factor of 63672 and 63676

GCF of 63672 and 63676 is 4

Prime Factorization of 63672


2 63672
2 31836
2 15918
3 7959
7 2653
379 379
1

Prime factors of 63672 are 2,3,7,379. Prime factorization of 63672 in exponential form is:

63672 = 23×31×71×3791

Prime Factorization of 63676


2 63676
2 31838
15919 15919
1

Prime factors of 63676 are 2,15919. Prime factorization of 63676 in exponential form is:

63676 = 22×159191

∴ So by taking common prime factors GCF of 63672 and 63676 is 4

Greatest Common Factor of 63672 and 63676 by matching factors method

Factors of 63672

List of positive integer factors of 63672 that divides 63672 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168,379,758,1137,1516,2274,2653,3032,4548,5306,7959,9096,10612,15918,21224,31836,63672

Factors of 63676

List of positive integer factors of 63676 that divides 63676 without a remainder.

1,2,4,15919,31838,63676

Greatest Common Factor

We found the factors and prime factorization of 63672 and 63676. The biggest common factor number is the GCF number.
So the greatest common factor 63672 and 63676 is 4.

Also check out the Least Common Multiple of 63672 and 63676

Properties of GCF 63672 and 63676

(i) The GCF of 63672 and 63676 is associative

GCF of 63672 and 63676 = GCF of 63676 and 63672

Related Greatest Common Factor of 63672

Related Greatest Common Factor of 63676

Frequently Asked Questions on GCF of 63672 and 63676

1. What is the GCF of 63672 and 63676?

Answer: GCF of 63672 and 63676 is 4.

2. What are the Factors of 63672?

Answer: Factors of 63672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 379, 758, 1137, 1516, 2274, 2653, 3032, 4548, 5306, 7959, 9096, 10612, 15918, 21224, 31836, 63672. There are 32 integers that are factors of 63672. The greatest factor of 63672 is 63672.

3. What are the Factors of 63676?

Answer: Factors of 63676 are 1, 2, 4, 15919, 31838, 63676. There are 6 integers that are factors of 63676. The greatest factor of 63676 is 63676.

4. How to Find the GCF of 63672 and 63676?

Answer:

Greatest Common Factor of 63672 and 63676 = 4

Step 1: Find the prime factorization of 63672

63672 = 2 x 2 x 2 x 3 x 7 x 379

Step 2: Find the prime factorization of 63676

63676 = 2 x 2 x 15919

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 63672 and 63676 is 4