What is the Greatest Common Factor of 72625 and 72639?

Greatest common factor (GCF) of 72625 and 72639 is 7.

GCF(72625,72639) = 7

We will now calculate the prime factors of 72625 and 72639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72625 and 72639.

How to find the GCF of 72625 and 72639?

We will first find the prime factorization of 72625 and 72639. After we will calculate the factors of 72625 and 72639 and find the biggest common factor number .

Step-1: Prime Factorization of 72625

Prime factors of 72625 are 5, 7, 83. Prime factorization of 72625 in exponential form is:

72625 = 5³ × 7¹ × 83¹

Step-2: 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-3: Factors of 72625

List of positive integer factors of 72625 that divides 72625 without a remainder.

1, 5, 7, 25, 35, 83, 125, 175, 415, 581, 875, 2075, 2905, 10375, 14525

Step-4: Factors of 72639

List of positive integer factors of 72639 that divides 72625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72625 and 72639. The biggest common factor number is the GCF number.
So the greatest common factor 72625 and 72639 is 7.

Also check out the Least Common Multiple of 72625 and 72639