What is the Greatest Common Factor of 62577 and 62589?

Greatest common factor (GCF) of 62577 and 62589 is 3.

GCF(62577,62589) = 3

We will now calculate the prime factors of 62577 and 62589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62577 and 62589.

How to find the GCF of 62577 and 62589?

We will first find the prime factorization of 62577 and 62589. After we will calculate the factors of 62577 and 62589 and find the biggest common factor number .

Step-1: Prime Factorization of 62577

Prime factors of 62577 are 3, 17, 409. Prime factorization of 62577 in exponential form is:

62577 = 3² × 17¹ × 409¹

Step-2: 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-3: Factors of 62577

List of positive integer factors of 62577 that divides 62577 without a remainder.

1, 3, 9, 17, 51, 153, 409, 1227, 3681, 6953, 20859

Step-4: Factors of 62589

List of positive integer factors of 62589 that divides 62577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62577 and 62589. The biggest common factor number is the GCF number.
So the greatest common factor 62577 and 62589 is 3.

Also check out the Least Common Multiple of 62577 and 62589