What is the Greatest Common Factor of 62405 and 62410?

Greatest common factor (GCF) of 62405 and 62410 is 5.

GCF(62405,62410) = 5

We will now calculate the prime factors of 62405 and 62410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62405 and 62410.

How to find the GCF of 62405 and 62410?

We will first find the prime factorization of 62405 and 62410. After we will calculate the factors of 62405 and 62410 and find the biggest common factor number .

Step-1: Prime Factorization of 62405

Prime factors of 62405 are 5, 7, 1783. Prime factorization of 62405 in exponential form is:

62405 = 5¹ × 7¹ × 1783¹

Step-2: Prime Factorization of 62410

Prime factors of 62410 are 2, 5, 79. Prime factorization of 62410 in exponential form is:

62410 = 2¹ × 5¹ × 79²

Step-3: Factors of 62405

List of positive integer factors of 62405 that divides 62405 without a remainder.

1, 5, 7, 35, 1783, 8915, 12481

Step-4: Factors of 62410

List of positive integer factors of 62410 that divides 62405 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790, 6241, 12482, 31205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62405 and 62410. The biggest common factor number is the GCF number.
So the greatest common factor 62405 and 62410 is 5.

Also check out the Least Common Multiple of 62405 and 62410