What is the Greatest Common Factor of 72628 and 72634?

Greatest common factor (GCF) of 72628 and 72634 is 2.

GCF(72628,72634) = 2

We will now calculate the prime factors of 72628 and 72634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72628 and 72634.

How to find the GCF of 72628 and 72634?

We will first find the prime factorization of 72628 and 72634. After we will calculate the factors of 72628 and 72634 and find the biggest common factor number .

Step-1: Prime Factorization of 72628

Prime factors of 72628 are 2, 67, 271. Prime factorization of 72628 in exponential form is:

72628 = 2² × 67¹ × 271¹

Step-2: Prime Factorization of 72634

Prime factors of 72634 are 2, 23, 1579. Prime factorization of 72634 in exponential form is:

72634 = 2¹ × 23¹ × 1579¹

Step-3: Factors of 72628

List of positive integer factors of 72628 that divides 72628 without a remainder.

1, 2, 4, 67, 134, 268, 271, 542, 1084, 18157, 36314

Step-4: Factors of 72634

List of positive integer factors of 72634 that divides 72628 without a remainder.

1, 2, 23, 46, 1579, 3158, 36317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72628 and 72634. The biggest common factor number is the GCF number.
So the greatest common factor 72628 and 72634 is 2.

Also check out the Least Common Multiple of 72628 and 72634