What is the Greatest Common Factor of 64200 and 64212?

Greatest common factor (GCF) of 64200 and 64212 is 12.

GCF(64200,64212) = 12

We will now calculate the prime factors of 64200 and 64212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64200 and 64212.

How to find the GCF of 64200 and 64212?

We will first find the prime factorization of 64200 and 64212. After we will calculate the factors of 64200 and 64212 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 64212

Prime factors of 64212 are 2, 3, 5351. Prime factorization of 64212 in exponential form is:

64212 = 2² × 3¹ × 5351¹

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 64212

List of positive integer factors of 64212 that divides 64200 without a remainder.

1, 2, 3, 4, 6, 12, 5351, 10702, 16053, 21404, 32106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64200 and 64212. The biggest common factor number is the GCF number.
So the greatest common factor 64200 and 64212 is 12.

Also check out the Least Common Multiple of 64200 and 64212