What is the Greatest Common Factor of 62598 and 62613?

Greatest common factor (GCF) of 62598 and 62613 is 3.

GCF(62598,62613) = 3

We will now calculate the prime factors of 62598 and 62613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62598 and 62613.

How to find the GCF of 62598 and 62613?

We will first find the prime factorization of 62598 and 62613. After we will calculate the factors of 62598 and 62613 and find the biggest common factor number .

Step-1: Prime Factorization of 62598

Prime factors of 62598 are 2, 3, 10433. Prime factorization of 62598 in exponential form is:

62598 = 2¹ × 3¹ × 10433¹

Step-2: Prime Factorization of 62613

Prime factors of 62613 are 3, 773. Prime factorization of 62613 in exponential form is:

62613 = 3⁴ × 773¹

Step-3: Factors of 62598

List of positive integer factors of 62598 that divides 62598 without a remainder.

1, 2, 3, 6, 10433, 20866, 31299

Step-4: Factors of 62613

List of positive integer factors of 62613 that divides 62598 without a remainder.

1, 3, 9, 27, 81, 773, 2319, 6957, 20871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62598 and 62613. The biggest common factor number is the GCF number.
So the greatest common factor 62598 and 62613 is 3.

Also check out the Least Common Multiple of 62598 and 62613