What is the Greatest Common Factor of 85488 and 85507?

Greatest common factor (GCF) of 85488 and 85507 is 1.

GCF(85488,85507) = 1

We will now calculate the prime factors of 85488 and 85507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85488 and 85507.

How to find the GCF of 85488 and 85507?

We will first find the prime factorization of 85488 and 85507. After we will calculate the factors of 85488 and 85507 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 85507

Prime factors of 85507 are 37, 2311. Prime factorization of 85507 in exponential form is:

85507 = 37¹ × 2311¹

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 85507

List of positive integer factors of 85507 that divides 85488 without a remainder.

1, 37, 2311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85488 and 85507. The biggest common factor number is the GCF number.
So the greatest common factor 85488 and 85507 is 1.

Also check out the Least Common Multiple of 85488 and 85507