What is the Greatest Common Factor of 64200 and 64207?

Greatest common factor (GCF) of 64200 and 64207 is 1.

GCF(64200,64207) = 1

We will now calculate the prime factors of 64200 and 64207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64200 and 64207.

How to find the GCF of 64200 and 64207?

We will first find the prime factorization of 64200 and 64207. After we will calculate the factors of 64200 and 64207 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 64207

Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:

64207 = 11¹ × 13¹ × 449¹

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 64207

List of positive integer factors of 64207 that divides 64200 without a remainder.

1, 11, 13, 143, 449, 4939, 5837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64200 and 64207. The biggest common factor number is the GCF number.
So the greatest common factor 64200 and 64207 is 1.

Also check out the Least Common Multiple of 64200 and 64207