What is the Greatest Common Factor of 63612 and 63616?

Greatest common factor (GCF) of 63612 and 63616 is 4.

GCF(63612,63616) = 4

We will now calculate the prime factors of 63612 and 63616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63612 and 63616.

How to find the GCF of 63612 and 63616?

We will first find the prime factorization of 63612 and 63616. After we will calculate the factors of 63612 and 63616 and find the biggest common factor number .

Step-1: Prime Factorization of 63612

Prime factors of 63612 are 2, 3, 19, 31. Prime factorization of 63612 in exponential form is:

63612 = 2² × 3³ × 19¹ × 31¹

Step-2: Prime Factorization of 63616

Prime factors of 63616 are 2, 7, 71. Prime factorization of 63616 in exponential form is:

63616 = 2⁷ × 7¹ × 71¹

Step-3: Factors of 63612

List of positive integer factors of 63612 that divides 63612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 31, 36, 38, 54, 57, 62, 76, 93, 108, 114, 124, 171, 186, 228, 279, 342, 372, 513, 558, 589, 684, 837, 1026, 1116, 1178, 1674, 1767, 2052, 2356, 3348, 3534, 5301, 7068, 10602, 15903, 21204, 31806

Step-4: Factors of 63616

List of positive integer factors of 63616 that divides 63612 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 71, 112, 128, 142, 224, 284, 448, 497, 568, 896, 994, 1136, 1988, 2272, 3976, 4544, 7952, 9088, 15904, 31808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63612 and 63616. The biggest common factor number is the GCF number.
So the greatest common factor 63612 and 63616 is 4.

Also check out the Least Common Multiple of 63612 and 63616