What is the Greatest Common Factor of 60813 and 60828?

Greatest common factor (GCF) of 60813 and 60828 is 3.

GCF(60813,60828) = 3

We will now calculate the prime factors of 60813 and 60828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60813 and 60828.

How to find the GCF of 60813 and 60828?

We will first find the prime factorization of 60813 and 60828. After we will calculate the factors of 60813 and 60828 and find the biggest common factor number .

Step-1: Prime Factorization of 60813

Prime factors of 60813 are 3, 29, 233. Prime factorization of 60813 in exponential form is:

60813 = 3² × 29¹ × 233¹

Step-2: Prime Factorization of 60828

Prime factors of 60828 are 2, 3, 37, 137. Prime factorization of 60828 in exponential form is:

60828 = 2² × 3¹ × 37¹ × 137¹

Step-3: Factors of 60813

List of positive integer factors of 60813 that divides 60813 without a remainder.

1, 3, 9, 29, 87, 233, 261, 699, 2097, 6757, 20271

Step-4: Factors of 60828

List of positive integer factors of 60828 that divides 60813 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 137, 148, 222, 274, 411, 444, 548, 822, 1644, 5069, 10138, 15207, 20276, 30414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60813 and 60828. The biggest common factor number is the GCF number.
So the greatest common factor 60813 and 60828 is 3.

Also check out the Least Common Multiple of 60813 and 60828