What is the Greatest Common Factor of 62504 and 62521?

Greatest common factor (GCF) of 62504 and 62521 is 1.

GCF(62504,62521) = 1

We will now calculate the prime factors of 62504 and 62521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62504 and 62521.

How to find the GCF of 62504 and 62521?

We will first find the prime factorization of 62504 and 62521. After we will calculate the factors of 62504 and 62521 and find the biggest common factor number .

Step-1: Prime Factorization of 62504

Prime factors of 62504 are 2, 13, 601. Prime factorization of 62504 in exponential form is:

62504 = 2³ × 13¹ × 601¹

Step-2: Prime Factorization of 62521

Prime factors of 62521 are 103, 607. Prime factorization of 62521 in exponential form is:

62521 = 103¹ × 607¹

Step-3: Factors of 62504

List of positive integer factors of 62504 that divides 62504 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 601, 1202, 2404, 4808, 7813, 15626, 31252

Step-4: Factors of 62521

List of positive integer factors of 62521 that divides 62504 without a remainder.

1, 103, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62504 and 62521. The biggest common factor number is the GCF number.
So the greatest common factor 62504 and 62521 is 1.

Also check out the Least Common Multiple of 62504 and 62521