What is the Greatest Common Factor of 72658 and 72664?

Greatest common factor (GCF) of 72658 and 72664 is 2.

GCF(72658,72664) = 2

We will now calculate the prime factors of 72658 and 72664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72658 and 72664.

How to find the GCF of 72658 and 72664?

We will first find the prime factorization of 72658 and 72664. After we will calculate the factors of 72658 and 72664 and find the biggest common factor number .

Step-1: Prime Factorization of 72658

Prime factors of 72658 are 2, 17, 2137. Prime factorization of 72658 in exponential form is:

72658 = 2¹ × 17¹ × 2137¹

Step-2: Prime Factorization of 72664

Prime factors of 72664 are 2, 31, 293. Prime factorization of 72664 in exponential form is:

72664 = 2³ × 31¹ × 293¹

Step-3: Factors of 72658

List of positive integer factors of 72658 that divides 72658 without a remainder.

1, 2, 17, 34, 2137, 4274, 36329

Step-4: Factors of 72664

List of positive integer factors of 72664 that divides 72658 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 293, 586, 1172, 2344, 9083, 18166, 36332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72658 and 72664. The biggest common factor number is the GCF number.
So the greatest common factor 72658 and 72664 is 2.

Also check out the Least Common Multiple of 72658 and 72664