What is the Greatest Common Factor of 85520 and 85538?

Greatest common factor (GCF) of 85520 and 85538 is 2.

GCF(85520,85538) = 2

We will now calculate the prime factors of 85520 and 85538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85520 and 85538.

How to find the GCF of 85520 and 85538?

We will first find the prime factorization of 85520 and 85538. After we will calculate the factors of 85520 and 85538 and find the biggest common factor number .

Step-1: Prime Factorization of 85520

Prime factors of 85520 are 2, 5, 1069. Prime factorization of 85520 in exponential form is:

85520 = 2⁴ × 5¹ × 1069¹

Step-2: Prime Factorization of 85538

Prime factors of 85538 are 2, 19, 2251. Prime factorization of 85538 in exponential form is:

85538 = 2¹ × 19¹ × 2251¹

Step-3: Factors of 85520

List of positive integer factors of 85520 that divides 85520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1069, 2138, 4276, 5345, 8552, 10690, 17104, 21380, 42760

Step-4: Factors of 85538

List of positive integer factors of 85538 that divides 85520 without a remainder.

1, 2, 19, 38, 2251, 4502, 42769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85520 and 85538. The biggest common factor number is the GCF number.
So the greatest common factor 85520 and 85538 is 2.

Also check out the Least Common Multiple of 85520 and 85538