What is the Greatest Common Factor of 85626 and 85644?

Greatest common factor (GCF) of 85626 and 85644 is 18.

GCF(85626,85644) = 18

We will now calculate the prime factors of 85626 and 85644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85626 and 85644.

How to find the GCF of 85626 and 85644?

We will first find the prime factorization of 85626 and 85644. After we will calculate the factors of 85626 and 85644 and find the biggest common factor number .

Step-1: Prime Factorization of 85626

Prime factors of 85626 are 2, 3, 67, 71. Prime factorization of 85626 in exponential form is:

85626 = 2¹ × 3² × 67¹ × 71¹

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 85626

List of positive integer factors of 85626 that divides 85626 without a remainder.

1, 2, 3, 6, 9, 18, 67, 71, 134, 142, 201, 213, 402, 426, 603, 639, 1206, 1278, 4757, 9514, 14271, 28542, 42813

Step-4: Factors of 85644

List of positive integer factors of 85644 that divides 85626 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 85626 and 85644. The biggest common factor number is the GCF number.
So the greatest common factor 85626 and 85644 is 18.

Also check out the Least Common Multiple of 85626 and 85644