What is the Greatest Common Factor of 64200 and 64205?

Greatest common factor (GCF) of 64200 and 64205 is 5.

GCF(64200,64205) = 5

We will now calculate the prime factors of 64200 and 64205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64200 and 64205.

How to find the GCF of 64200 and 64205?

We will first find the prime factorization of 64200 and 64205. After we will calculate the factors of 64200 and 64205 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 64205

Prime factors of 64205 are 5, 12841. Prime factorization of 64205 in exponential form is:

64205 = 5¹ × 12841¹

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 64205

List of positive integer factors of 64205 that divides 64200 without a remainder.

1, 5, 12841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64200 and 64205. The biggest common factor number is the GCF number.
So the greatest common factor 64200 and 64205 is 5.

Also check out the Least Common Multiple of 64200 and 64205