What is the Greatest Common Factor of 64200 and 64210?

Greatest common factor (GCF) of 64200 and 64210 is 10.

GCF(64200,64210) = 10

We will now calculate the prime factors of 64200 and 64210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64200 and 64210.

How to find the GCF of 64200 and 64210?

We will first find the prime factorization of 64200 and 64210. After we will calculate the factors of 64200 and 64210 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 64210

Prime factors of 64210 are 2, 5, 6421. Prime factorization of 64210 in exponential form is:

64210 = 2¹ × 5¹ × 6421¹

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 64210

List of positive integer factors of 64210 that divides 64200 without a remainder.

1, 2, 5, 10, 6421, 12842, 32105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64200 and 64210. The biggest common factor number is the GCF number.
So the greatest common factor 64200 and 64210 is 10.

Also check out the Least Common Multiple of 64200 and 64210