What is the Greatest Common Factor of 72622 and 72628?

Greatest common factor (GCF) of 72622 and 72628 is 2.

GCF(72622,72628) = 2

We will now calculate the prime factors of 72622 and 72628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72622 and 72628.

How to find the GCF of 72622 and 72628?

We will first find the prime factorization of 72622 and 72628. After we will calculate the factors of 72622 and 72628 and find the biggest common factor number .

Step-1: Prime Factorization of 72622

Prime factors of 72622 are 2, 11, 3301. Prime factorization of 72622 in exponential form is:

72622 = 2¹ × 11¹ × 3301¹

Step-2: 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-3: Factors of 72622

List of positive integer factors of 72622 that divides 72622 without a remainder.

1, 2, 11, 22, 3301, 6602, 36311

Step-4: Factors of 72628

List of positive integer factors of 72628 that divides 72622 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72622 and 72628. The biggest common factor number is the GCF number.
So the greatest common factor 72622 and 72628 is 2.

Also check out the Least Common Multiple of 72622 and 72628