What is the Greatest Common Factor of 64233 and 64251?

Greatest common factor (GCF) of 64233 and 64251 is 9.

GCF(64233,64251) = 9

We will now calculate the prime factors of 64233 and 64251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64233 and 64251.

How to find the GCF of 64233 and 64251?

We will first find the prime factorization of 64233 and 64251. After we will calculate the factors of 64233 and 64251 and find the biggest common factor number .

Step-1: Prime Factorization of 64233

Prime factors of 64233 are 3, 13, 61. Prime factorization of 64233 in exponential form is:

64233 = 3⁴ × 13¹ × 61¹

Step-2: Prime Factorization of 64251

Prime factors of 64251 are 3, 11, 59. Prime factorization of 64251 in exponential form is:

64251 = 3² × 11² × 59¹

Step-3: Factors of 64233

List of positive integer factors of 64233 that divides 64233 without a remainder.

1, 3, 9, 13, 27, 39, 61, 81, 117, 183, 351, 549, 793, 1053, 1647, 2379, 4941, 7137, 21411

Step-4: Factors of 64251

List of positive integer factors of 64251 that divides 64233 without a remainder.

1, 3, 9, 11, 33, 59, 99, 121, 177, 363, 531, 649, 1089, 1947, 5841, 7139, 21417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64233 and 64251. The biggest common factor number is the GCF number.
So the greatest common factor 64233 and 64251 is 9.

Also check out the Least Common Multiple of 64233 and 64251