What is the Greatest Common Factor of 72462 and 72475?

Greatest common factor (GCF) of 72462 and 72475 is 13.

GCF(72462,72475) = 13

We will now calculate the prime factors of 72462 and 72475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72462 and 72475.

How to find the GCF of 72462 and 72475?

We will first find the prime factorization of 72462 and 72475. After we will calculate the factors of 72462 and 72475 and find the biggest common factor number .

Step-1: Prime Factorization of 72462

Prime factors of 72462 are 2, 3, 13, 929. Prime factorization of 72462 in exponential form is:

72462 = 2¹ × 3¹ × 13¹ × 929¹

Step-2: 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-3: Factors of 72462

List of positive integer factors of 72462 that divides 72462 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 929, 1858, 2787, 5574, 12077, 24154, 36231

Step-4: Factors of 72475

List of positive integer factors of 72475 that divides 72462 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72462 and 72475. The biggest common factor number is the GCF number.
So the greatest common factor 72462 and 72475 is 13.

Also check out the Least Common Multiple of 72462 and 72475