What is the Greatest Common Factor of 72397 and 72410?

Greatest common factor (GCF) of 72397 and 72410 is 13.

GCF(72397,72410) = 13

We will now calculate the prime factors of 72397 and 72410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72397 and 72410.

How to find the GCF of 72397 and 72410?

We will first find the prime factorization of 72397 and 72410. After we will calculate the factors of 72397 and 72410 and find the biggest common factor number .

Step-1: Prime Factorization of 72397

Prime factors of 72397 are 13, 5569. Prime factorization of 72397 in exponential form is:

72397 = 13¹ × 5569¹

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 72397

List of positive integer factors of 72397 that divides 72397 without a remainder.

1, 13, 5569

Step-4: Factors of 72410

List of positive integer factors of 72410 that divides 72397 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 72397 and 72410. The biggest common factor number is the GCF number.
So the greatest common factor 72397 and 72410 is 13.

Also check out the Least Common Multiple of 72397 and 72410