What is the Greatest Common Factor of 85572 and 85592?

Greatest common factor (GCF) of 85572 and 85592 is 4.

GCF(85572,85592) = 4

We will now calculate the prime factors of 85572 and 85592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85572 and 85592.

How to find the GCF of 85572 and 85592?

We will first find the prime factorization of 85572 and 85592. After we will calculate the factors of 85572 and 85592 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 85592

Prime factors of 85592 are 2, 13, 823. Prime factorization of 85592 in exponential form is:

85592 = 2³ × 13¹ × 823¹

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 85592

List of positive integer factors of 85592 that divides 85572 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 823, 1646, 3292, 6584, 10699, 21398, 42796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85572 and 85592. The biggest common factor number is the GCF number.
So the greatest common factor 85572 and 85592 is 4.

Also check out the Least Common Multiple of 85572 and 85592