What is the Greatest Common Factor of 85567 and 85572?

Greatest common factor (GCF) of 85567 and 85572 is 1.

GCF(85567,85572) = 1

We will now calculate the prime factors of 85567 and 85572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85567 and 85572.

How to find the GCF of 85567 and 85572?

We will first find the prime factorization of 85567 and 85572. After we will calculate the factors of 85567 and 85572 and find the biggest common factor number .

Step-1: Prime Factorization of 85567

Prime factors of 85567 are 41, 2087. Prime factorization of 85567 in exponential form is:

85567 = 41¹ × 2087¹

Step-2: 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-3: Factors of 85567

List of positive integer factors of 85567 that divides 85567 without a remainder.

1, 41, 2087

Step-4: Factors of 85572

List of positive integer factors of 85572 that divides 85567 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85567 and 85572. The biggest common factor number is the GCF number.
So the greatest common factor 85567 and 85572 is 1.

Also check out the Least Common Multiple of 85567 and 85572