What is the Greatest Common Factor of 62589 and 62609?

Greatest common factor (GCF) of 62589 and 62609 is 1.

GCF(62589,62609) = 1

We will now calculate the prime factors of 62589 and 62609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62589 and 62609.

How to find the GCF of 62589 and 62609?

We will first find the prime factorization of 62589 and 62609. After we will calculate the factors of 62589 and 62609 and find the biggest common factor number .

Step-1: Prime Factorization of 62589

Prime factors of 62589 are 3, 31, 673. Prime factorization of 62589 in exponential form is:

62589 = 3¹ × 31¹ × 673¹

Step-2: Prime Factorization of 62609

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

62609 = 137¹ × 457¹

Step-3: Factors of 62589

List of positive integer factors of 62589 that divides 62589 without a remainder.

1, 3, 31, 93, 673, 2019, 20863

Step-4: Factors of 62609

List of positive integer factors of 62609 that divides 62589 without a remainder.

1, 137, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62589 and 62609. The biggest common factor number is the GCF number.
So the greatest common factor 62589 and 62609 is 1.

Also check out the Least Common Multiple of 62589 and 62609