What is the Greatest Common Factor of 85509 and 85528?

Greatest common factor (GCF) of 85509 and 85528 is 1.

GCF(85509,85528) = 1

We will now calculate the prime factors of 85509 and 85528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85509 and 85528.

How to find the GCF of 85509 and 85528?

We will first find the prime factorization of 85509 and 85528. After we will calculate the factors of 85509 and 85528 and find the biggest common factor number .

Step-1: Prime Factorization of 85509

Prime factors of 85509 are 3, 3167. Prime factorization of 85509 in exponential form is:

85509 = 3³ × 3167¹

Step-2: Prime Factorization of 85528

Prime factors of 85528 are 2, 10691. Prime factorization of 85528 in exponential form is:

85528 = 2³ × 10691¹

Step-3: Factors of 85509

List of positive integer factors of 85509 that divides 85509 without a remainder.

1, 3, 9, 27, 3167, 9501, 28503

Step-4: Factors of 85528

List of positive integer factors of 85528 that divides 85509 without a remainder.

1, 2, 4, 8, 10691, 21382, 42764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85509 and 85528. The biggest common factor number is the GCF number.
So the greatest common factor 85509 and 85528 is 1.

Also check out the Least Common Multiple of 85509 and 85528