What is the Greatest Common Factor of 85488 and 85504?

Greatest common factor (GCF) of 85488 and 85504 is 16.

GCF(85488,85504) = 16

We will now calculate the prime factors of 85488 and 85504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85488 and 85504.

How to find the GCF of 85488 and 85504?

We will first find the prime factorization of 85488 and 85504. After we will calculate the factors of 85488 and 85504 and find the biggest common factor number .

Step-1: Prime Factorization of 85488

Prime factors of 85488 are 2, 3, 13, 137. Prime factorization of 85488 in exponential form is:

85488 = 2⁴ × 3¹ × 13¹ × 137¹

Step-2: Prime Factorization of 85504

Prime factors of 85504 are 2, 167. Prime factorization of 85504 in exponential form is:

85504 = 2⁹ × 167¹

Step-3: Factors of 85488

List of positive integer factors of 85488 that divides 85488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 137, 156, 208, 274, 312, 411, 548, 624, 822, 1096, 1644, 1781, 2192, 3288, 3562, 5343, 6576, 7124, 10686, 14248, 21372, 28496, 42744

Step-4: Factors of 85504

List of positive integer factors of 85504 that divides 85488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 512, 668, 1336, 2672, 5344, 10688, 21376, 42752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85488 and 85504. The biggest common factor number is the GCF number.
So the greatest common factor 85488 and 85504 is 16.

Also check out the Least Common Multiple of 85488 and 85504