What is the Greatest Common Factor of 72639 and 72653?

Greatest common factor (GCF) of 72639 and 72653 is 7.

GCF(72639,72653) = 7

We will now calculate the prime factors of 72639 and 72653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72639 and 72653.

How to find the GCF of 72639 and 72653?

We will first find the prime factorization of 72639 and 72653. After we will calculate the factors of 72639 and 72653 and find the biggest common factor number .

Step-1: Prime Factorization of 72639

Prime factors of 72639 are 3, 7, 1153. Prime factorization of 72639 in exponential form is:

72639 = 3² × 7¹ × 1153¹

Step-2: Prime Factorization of 72653

Prime factors of 72653 are 7, 97, 107. Prime factorization of 72653 in exponential form is:

72653 = 7¹ × 97¹ × 107¹

Step-3: Factors of 72639

List of positive integer factors of 72639 that divides 72639 without a remainder.

1, 3, 7, 9, 21, 63, 1153, 3459, 8071, 10377, 24213

Step-4: Factors of 72653

List of positive integer factors of 72653 that divides 72639 without a remainder.

1, 7, 97, 107, 679, 749, 10379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72639 and 72653. The biggest common factor number is the GCF number.
So the greatest common factor 72639 and 72653 is 7.

Also check out the Least Common Multiple of 72639 and 72653