What is the Greatest Common Factor of 64658 and 64672?

Greatest common factor (GCF) of 64658 and 64672 is 2.

GCF(64658,64672) = 2

We will now calculate the prime factors of 64658 and 64672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64658 and 64672.

How to find the GCF of 64658 and 64672?

We will first find the prime factorization of 64658 and 64672. After we will calculate the factors of 64658 and 64672 and find the biggest common factor number .

Step-1: Prime Factorization of 64658

Prime factors of 64658 are 2, 11, 2939. Prime factorization of 64658 in exponential form is:

64658 = 2¹ × 11¹ × 2939¹

Step-2: Prime Factorization of 64672

Prime factors of 64672 are 2, 43, 47. Prime factorization of 64672 in exponential form is:

64672 = 2⁵ × 43¹ × 47¹

Step-3: Factors of 64658

List of positive integer factors of 64658 that divides 64658 without a remainder.

1, 2, 11, 22, 2939, 5878, 32329

Step-4: Factors of 64672

List of positive integer factors of 64672 that divides 64658 without a remainder.

1, 2, 4, 8, 16, 32, 43, 47, 86, 94, 172, 188, 344, 376, 688, 752, 1376, 1504, 2021, 4042, 8084, 16168, 32336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64658 and 64672. The biggest common factor number is the GCF number.
So the greatest common factor 64658 and 64672 is 2.

Also check out the Least Common Multiple of 64658 and 64672