What is the Greatest Common Factor of 72628 and 72643?

Greatest common factor (GCF) of 72628 and 72643 is 1.

GCF(72628,72643) = 1

We will now calculate the prime factors of 72628 and 72643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72628 and 72643.

How to find the GCF of 72628 and 72643?

We will first find the prime factorization of 72628 and 72643. After we will calculate the factors of 72628 and 72643 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 72643

Prime factors of 72643 are 72643. Prime factorization of 72643 in exponential form is:

72643 = 72643¹

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 72643

List of positive integer factors of 72643 that divides 72628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72628 and 72643. The biggest common factor number is the GCF number.
So the greatest common factor 72628 and 72643 is 1.

Also check out the Least Common Multiple of 72628 and 72643