What is the Greatest Common Factor of 15600 and 15616?

Greatest common factor (GCF) of 15600 and 15616 is 16.

GCF(15600,15616) = 16

We will now calculate the prime factors of 15600 and 15616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15600 and 15616.

How to find the GCF of 15600 and 15616?

We will first find the prime factorization of 15600 and 15616. After we will calculate the factors of 15600 and 15616 and find the biggest common factor number .

Step-1: Prime Factorization of 15600

Prime factors of 15600 are 2, 3, 5, 13. Prime factorization of 15600 in exponential form is:

15600 = 2⁴ × 3¹ × 5² × 13¹

Step-2: Prime Factorization of 15616

Prime factors of 15616 are 2, 61. Prime factorization of 15616 in exponential form is:

15616 = 2⁸ × 61¹

Step-3: Factors of 15600

List of positive integer factors of 15600 that divides 15600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 25, 26, 30, 39, 40, 48, 50, 52, 60, 65, 75, 78, 80, 100, 104, 120, 130, 150, 156, 195, 200, 208, 240, 260, 300, 312, 325, 390, 400, 520, 600, 624, 650, 780, 975, 1040, 1200, 1300, 1560, 1950, 2600, 3120, 3900, 5200, 7800

Step-4: Factors of 15616

List of positive integer factors of 15616 that divides 15600 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 976, 1952, 3904, 7808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15600 and 15616. The biggest common factor number is the GCF number.
So the greatest common factor 15600 and 15616 is 16.

Also check out the Least Common Multiple of 15600 and 15616