What is the Greatest Common Factor of 85631 and 85644?

Greatest common factor (GCF) of 85631 and 85644 is 13.

GCF(85631,85644) = 13

We will now calculate the prime factors of 85631 and 85644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85631 and 85644.

How to find the GCF of 85631 and 85644?

We will first find the prime factorization of 85631 and 85644. After we will calculate the factors of 85631 and 85644 and find the biggest common factor number .

Step-1: Prime Factorization of 85631

Prime factors of 85631 are 7, 13, 941. Prime factorization of 85631 in exponential form is:

85631 = 7¹ × 13¹ × 941¹

Step-2: Prime Factorization of 85644

Prime factors of 85644 are 2, 3, 13, 61. Prime factorization of 85644 in exponential form is:

85644 = 2² × 3³ × 13¹ × 61¹

Step-3: Factors of 85631

List of positive integer factors of 85631 that divides 85631 without a remainder.

1, 7, 13, 91, 941, 6587, 12233

Step-4: Factors of 85644

List of positive integer factors of 85644 that divides 85631 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 61, 78, 108, 117, 122, 156, 183, 234, 244, 351, 366, 468, 549, 702, 732, 793, 1098, 1404, 1586, 1647, 2196, 2379, 3172, 3294, 4758, 6588, 7137, 9516, 14274, 21411, 28548, 42822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85631 and 85644. The biggest common factor number is the GCF number.
So the greatest common factor 85631 and 85644 is 13.

Also check out the Least Common Multiple of 85631 and 85644