What is the Greatest Common Factor of 62509 and 62528?

Greatest common factor (GCF) of 62509 and 62528 is 1.

GCF(62509,62528) = 1

We will now calculate the prime factors of 62509 and 62528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62509 and 62528.

How to find the GCF of 62509 and 62528?

We will first find the prime factorization of 62509 and 62528. After we will calculate the factors of 62509 and 62528 and find the biggest common factor number .

Step-1: Prime Factorization of 62509

Prime factors of 62509 are 17, 3677. Prime factorization of 62509 in exponential form is:

62509 = 17¹ × 3677¹

Step-2: Prime Factorization of 62528

Prime factors of 62528 are 2, 977. Prime factorization of 62528 in exponential form is:

62528 = 2⁶ × 977¹

Step-3: Factors of 62509

List of positive integer factors of 62509 that divides 62509 without a remainder.

1, 17, 3677

Step-4: Factors of 62528

List of positive integer factors of 62528 that divides 62509 without a remainder.

1, 2, 4, 8, 16, 32, 64, 977, 1954, 3908, 7816, 15632, 31264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62509 and 62528. The biggest common factor number is the GCF number.
So the greatest common factor 62509 and 62528 is 1.

Also check out the Least Common Multiple of 62509 and 62528