What is the Greatest Common Factor of 64092 and 64107?

Greatest common factor (GCF) of 64092 and 64107 is 3.

GCF(64092,64107) = 3

We will now calculate the prime factors of 64092 and 64107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64092 and 64107.

How to find the GCF of 64092 and 64107?

We will first find the prime factorization of 64092 and 64107. After we will calculate the factors of 64092 and 64107 and find the biggest common factor number .

Step-1: Prime Factorization of 64092

Prime factors of 64092 are 2, 3, 7, 109. Prime factorization of 64092 in exponential form is:

64092 = 2² × 3¹ × 7² × 109¹

Step-2: Prime Factorization of 64107

Prime factors of 64107 are 3, 17, 419. Prime factorization of 64107 in exponential form is:

64107 = 3² × 17¹ × 419¹

Step-3: Factors of 64092

List of positive integer factors of 64092 that divides 64092 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 109, 147, 196, 218, 294, 327, 436, 588, 654, 763, 1308, 1526, 2289, 3052, 4578, 5341, 9156, 10682, 16023, 21364, 32046

Step-4: Factors of 64107

List of positive integer factors of 64107 that divides 64092 without a remainder.

1, 3, 9, 17, 51, 153, 419, 1257, 3771, 7123, 21369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64092 and 64107. The biggest common factor number is the GCF number.
So the greatest common factor 64092 and 64107 is 3.

Also check out the Least Common Multiple of 64092 and 64107