What is the Greatest Common Factor of 85572 and 85589?

Greatest common factor (GCF) of 85572 and 85589 is 1.

GCF(85572,85589) = 1

We will now calculate the prime factors of 85572 and 85589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85572 and 85589.

How to find the GCF of 85572 and 85589?

We will first find the prime factorization of 85572 and 85589. After we will calculate the factors of 85572 and 85589 and find the biggest common factor number .

Step-1: Prime Factorization of 85572

Prime factors of 85572 are 2, 3, 2377. Prime factorization of 85572 in exponential form is:

85572 = 2² × 3² × 2377¹

Step-2: Prime Factorization of 85589

Prime factors of 85589 are 7, 12227. Prime factorization of 85589 in exponential form is:

85589 = 7¹ × 12227¹

Step-3: Factors of 85572

List of positive integer factors of 85572 that divides 85572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2377, 4754, 7131, 9508, 14262, 21393, 28524, 42786

Step-4: Factors of 85589

List of positive integer factors of 85589 that divides 85572 without a remainder.

1, 7, 12227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85572 and 85589. The biggest common factor number is the GCF number.
So the greatest common factor 85572 and 85589 is 1.

Also check out the Least Common Multiple of 85572 and 85589