What is the Greatest Common Factor of 64180 and 64200?

Greatest common factor (GCF) of 64180 and 64200 is 20.

GCF(64180,64200) = 20

We will now calculate the prime factors of 64180 and 64200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64180 and 64200.

How to find the GCF of 64180 and 64200?

We will first find the prime factorization of 64180 and 64200. After we will calculate the factors of 64180 and 64200 and find the biggest common factor number .

Step-1: Prime Factorization of 64180

Prime factors of 64180 are 2, 5, 3209. Prime factorization of 64180 in exponential form is:

64180 = 2² × 5¹ × 3209¹

Step-2: 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-3: Factors of 64180

List of positive integer factors of 64180 that divides 64180 without a remainder.

1, 2, 4, 5, 10, 20, 3209, 6418, 12836, 16045, 32090

Step-4: Factors of 64200

List of positive integer factors of 64200 that divides 64180 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64180 and 64200. The biggest common factor number is the GCF number.
So the greatest common factor 64180 and 64200 is 20.

Also check out the Least Common Multiple of 64180 and 64200