What is the Greatest Common Factor of 64200 and 64215?

Greatest common factor (GCF) of 64200 and 64215 is 15.

GCF(64200,64215) = 15

We will now calculate the prime factors of 64200 and 64215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64200 and 64215.

How to find the GCF of 64200 and 64215?

We will first find the prime factorization of 64200 and 64215. After we will calculate the factors of 64200 and 64215 and find the biggest common factor number .

Step-1: Prime Factorization of 64200

Prime factors of 64200 are 2, 3, 5, 107. Prime factorization of 64200 in exponential form is:

64200 = 2³ × 3¹ × 5² × 107¹

Step-2: Prime Factorization of 64215

Prime factors of 64215 are 3, 5, 1427. Prime factorization of 64215 in exponential form is:

64215 = 3² × 5¹ × 1427¹

Step-3: Factors of 64200

List of positive integer factors of 64200 that divides 64200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 107, 120, 150, 200, 214, 300, 321, 428, 535, 600, 642, 856, 1070, 1284, 1605, 2140, 2568, 2675, 3210, 4280, 5350, 6420, 8025, 10700, 12840, 16050, 21400, 32100

Step-4: Factors of 64215

List of positive integer factors of 64215 that divides 64200 without a remainder.

1, 3, 5, 9, 15, 45, 1427, 4281, 7135, 12843, 21405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64200 and 64215. The biggest common factor number is the GCF number.
So the greatest common factor 64200 and 64215 is 15.

Also check out the Least Common Multiple of 64200 and 64215