What is the Greatest Common Factor of 72392 and 72410?

Greatest common factor (GCF) of 72392 and 72410 is 2.

GCF(72392,72410) = 2

We will now calculate the prime factors of 72392 and 72410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72392 and 72410.

How to find the GCF of 72392 and 72410?

We will first find the prime factorization of 72392 and 72410. After we will calculate the factors of 72392 and 72410 and find the biggest common factor number .

Step-1: Prime Factorization of 72392

Prime factors of 72392 are 2, 9049. Prime factorization of 72392 in exponential form is:

72392 = 2³ × 9049¹

Step-2: Prime Factorization of 72410

Prime factors of 72410 are 2, 5, 13, 557. Prime factorization of 72410 in exponential form is:

72410 = 2¹ × 5¹ × 13¹ × 557¹

Step-3: Factors of 72392

List of positive integer factors of 72392 that divides 72392 without a remainder.

1, 2, 4, 8, 9049, 18098, 36196

Step-4: Factors of 72410

List of positive integer factors of 72410 that divides 72392 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 557, 1114, 2785, 5570, 7241, 14482, 36205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72392 and 72410. The biggest common factor number is the GCF number.
So the greatest common factor 72392 and 72410 is 2.

Also check out the Least Common Multiple of 72392 and 72410