What is the Greatest Common Factor of 62589 and 62604?

Greatest common factor (GCF) of 62589 and 62604 is 3.

GCF(62589,62604) = 3

We will now calculate the prime factors of 62589 and 62604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62589 and 62604.

How to find the GCF of 62589 and 62604?

We will first find the prime factorization of 62589 and 62604. After we will calculate the factors of 62589 and 62604 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 62604

Prime factors of 62604 are 2, 3, 37, 47. Prime factorization of 62604 in exponential form is:

62604 = 2² × 3² × 37¹ × 47¹

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 62604

List of positive integer factors of 62604 that divides 62589 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 333, 423, 444, 564, 666, 846, 1332, 1692, 1739, 3478, 5217, 6956, 10434, 15651, 20868, 31302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62589 and 62604. The biggest common factor number is the GCF number.
So the greatest common factor 62589 and 62604 is 3.

Also check out the Least Common Multiple of 62589 and 62604