What is the Greatest Common Factor of 72654 and 72658?

Greatest common factor (GCF) of 72654 and 72658 is 2.

GCF(72654,72658) = 2

We will now calculate the prime factors of 72654 and 72658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72654 and 72658.

How to find the GCF of 72654 and 72658?

We will first find the prime factorization of 72654 and 72658. After we will calculate the factors of 72654 and 72658 and find the biggest common factor number .

Step-1: Prime Factorization of 72654

Prime factors of 72654 are 2, 3, 12109. Prime factorization of 72654 in exponential form is:

72654 = 2¹ × 3¹ × 12109¹

Step-2: 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-3: Factors of 72654

List of positive integer factors of 72654 that divides 72654 without a remainder.

1, 2, 3, 6, 12109, 24218, 36327

Step-4: Factors of 72658

List of positive integer factors of 72658 that divides 72654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72654 and 72658. The biggest common factor number is the GCF number.
So the greatest common factor 72654 and 72658 is 2.

Also check out the Least Common Multiple of 72654 and 72658