What is the Greatest Common Factor of 72475 and 72490?

Greatest common factor (GCF) of 72475 and 72490 is 5.

GCF(72475,72490) = 5

We will now calculate the prime factors of 72475 and 72490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72475 and 72490.

How to find the GCF of 72475 and 72490?

We will first find the prime factorization of 72475 and 72490. After we will calculate the factors of 72475 and 72490 and find the biggest common factor number .

Step-1: Prime Factorization of 72475

Prime factors of 72475 are 5, 13, 223. Prime factorization of 72475 in exponential form is:

72475 = 5² × 13¹ × 223¹

Step-2: Prime Factorization of 72490

Prime factors of 72490 are 2, 5, 11, 659. Prime factorization of 72490 in exponential form is:

72490 = 2¹ × 5¹ × 11¹ × 659¹

Step-3: Factors of 72475

List of positive integer factors of 72475 that divides 72475 without a remainder.

1, 5, 13, 25, 65, 223, 325, 1115, 2899, 5575, 14495

Step-4: Factors of 72490

List of positive integer factors of 72490 that divides 72475 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 659, 1318, 3295, 6590, 7249, 14498, 36245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72475 and 72490. The biggest common factor number is the GCF number.
So the greatest common factor 72475 and 72490 is 5.

Also check out the Least Common Multiple of 72475 and 72490