What is the Greatest Common Factor of 64092 and 64104?

Greatest common factor (GCF) of 64092 and 64104 is 12.

GCF(64092,64104) = 12

We will now calculate the prime factors of 64092 and 64104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64092 and 64104.

How to find the GCF of 64092 and 64104?

We will first find the prime factorization of 64092 and 64104. After we will calculate the factors of 64092 and 64104 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 64104

Prime factors of 64104 are 2, 3, 2671. Prime factorization of 64104 in exponential form is:

64104 = 2³ × 3¹ × 2671¹

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 64104

List of positive integer factors of 64104 that divides 64092 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2671, 5342, 8013, 10684, 16026, 21368, 32052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64092 and 64104. The biggest common factor number is the GCF number.
So the greatest common factor 64092 and 64104 is 12.

Also check out the Least Common Multiple of 64092 and 64104