What is the Greatest Common Factor of 64233 and 64246?

Greatest common factor (GCF) of 64233 and 64246 is 13.

GCF(64233,64246) = 13

We will now calculate the prime factors of 64233 and 64246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64233 and 64246.

How to find the GCF of 64233 and 64246?

We will first find the prime factorization of 64233 and 64246. After we will calculate the factors of 64233 and 64246 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 64246

Prime factors of 64246 are 2, 7, 13, 353. Prime factorization of 64246 in exponential form is:

64246 = 2¹ × 7¹ × 13¹ × 353¹

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 64246

List of positive integer factors of 64246 that divides 64233 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 353, 706, 2471, 4589, 4942, 9178, 32123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64233 and 64246. The biggest common factor number is the GCF number.
So the greatest common factor 64233 and 64246 is 13.

Also check out the Least Common Multiple of 64233 and 64246