What is the Greatest Common Factor of 85600 and 85608?

Greatest common factor (GCF) of 85600 and 85608 is 8.

GCF(85600,85608) = 8

We will now calculate the prime factors of 85600 and 85608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85600 and 85608.

How to find the GCF of 85600 and 85608?

We will first find the prime factorization of 85600 and 85608. After we will calculate the factors of 85600 and 85608 and find the biggest common factor number .

Step-1: Prime Factorization of 85600

Prime factors of 85600 are 2, 5, 107. Prime factorization of 85600 in exponential form is:

85600 = 2⁵ × 5² × 107¹

Step-2: Prime Factorization of 85608

Prime factors of 85608 are 2, 3, 29, 41. Prime factorization of 85608 in exponential form is:

85608 = 2³ × 3² × 29¹ × 41¹

Step-3: Factors of 85600

List of positive integer factors of 85600 that divides 85600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 107, 160, 200, 214, 400, 428, 535, 800, 856, 1070, 1712, 2140, 2675, 3424, 4280, 5350, 8560, 10700, 17120, 21400, 42800

Step-4: Factors of 85608

List of positive integer factors of 85608 that divides 85600 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 41, 58, 72, 82, 87, 116, 123, 164, 174, 232, 246, 261, 328, 348, 369, 492, 522, 696, 738, 984, 1044, 1189, 1476, 2088, 2378, 2952, 3567, 4756, 7134, 9512, 10701, 14268, 21402, 28536, 42804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85600 and 85608. The biggest common factor number is the GCF number.
So the greatest common factor 85600 and 85608 is 8.

Also check out the Least Common Multiple of 85600 and 85608