What is the Greatest Common Factor of 63600 and 63616?

Greatest common factor (GCF) of 63600 and 63616 is 16.

GCF(63600,63616) = 16

We will now calculate the prime factors of 63600 and 63616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63600 and 63616.

How to find the GCF of 63600 and 63616?

We will first find the prime factorization of 63600 and 63616. After we will calculate the factors of 63600 and 63616 and find the biggest common factor number .

Step-1: Prime Factorization of 63600

Prime factors of 63600 are 2, 3, 5, 53. Prime factorization of 63600 in exponential form is:

63600 = 2⁴ × 3¹ × 5² × 53¹

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 63600

List of positive integer factors of 63600 that divides 63600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 53, 60, 75, 80, 100, 106, 120, 150, 159, 200, 212, 240, 265, 300, 318, 400, 424, 530, 600, 636, 795, 848, 1060, 1200, 1272, 1325, 1590, 2120, 2544, 2650, 3180, 3975, 4240, 5300, 6360, 7950, 10600, 12720, 15900, 21200, 31800

Step-4: Factors of 63616

List of positive integer factors of 63616 that divides 63600 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 63600 and 63616. The biggest common factor number is the GCF number.
So the greatest common factor 63600 and 63616 is 16.

Also check out the Least Common Multiple of 63600 and 63616