What is the Greatest Common Factor of 62589 and 62595?

Greatest common factor (GCF) of 62589 and 62595 is 3.

GCF(62589,62595) = 3

We will now calculate the prime factors of 62589 and 62595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62589 and 62595.

How to find the GCF of 62589 and 62595?

We will first find the prime factorization of 62589 and 62595. After we will calculate the factors of 62589 and 62595 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 62595

Prime factors of 62595 are 3, 5, 13, 107. Prime factorization of 62595 in exponential form is:

62595 = 3² × 5¹ × 13¹ × 107¹

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 62595

List of positive integer factors of 62595 that divides 62589 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 107, 117, 195, 321, 535, 585, 963, 1391, 1605, 4173, 4815, 6955, 12519, 20865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62589 and 62595. The biggest common factor number is the GCF number.
So the greatest common factor 62589 and 62595 is 3.

Also check out the Least Common Multiple of 62589 and 62595