What is the Greatest Common Factor of 62609 and 62627?

Greatest common factor (GCF) of 62609 and 62627 is 1.

GCF(62609,62627) = 1

We will now calculate the prime factors of 62609 and 62627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62609 and 62627.

How to find the GCF of 62609 and 62627?

We will first find the prime factorization of 62609 and 62627. After we will calculate the factors of 62609 and 62627 and find the biggest common factor number .

Step-1: Prime Factorization of 62609

Prime factors of 62609 are 137, 457. Prime factorization of 62609 in exponential form is:

62609 = 137¹ × 457¹

Step-2: Prime Factorization of 62627

Prime factors of 62627 are 62627. Prime factorization of 62627 in exponential form is:

62627 = 62627¹

Step-3: Factors of 62609

List of positive integer factors of 62609 that divides 62609 without a remainder.

1, 137, 457

Step-4: Factors of 62627

List of positive integer factors of 62627 that divides 62609 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62609 and 62627. The biggest common factor number is the GCF number.
So the greatest common factor 62609 and 62627 is 1.

Also check out the Least Common Multiple of 62609 and 62627