What is the Greatest Common Factor of 60828 and 60846?

Greatest common factor (GCF) of 60828 and 60846 is 6.

GCF(60828,60846) = 6

We will now calculate the prime factors of 60828 and 60846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60828 and 60846.

How to find the GCF of 60828 and 60846?

We will first find the prime factorization of 60828 and 60846. After we will calculate the factors of 60828 and 60846 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60846

Prime factors of 60846 are 2, 3, 10141. Prime factorization of 60846 in exponential form is:

60846 = 2¹ × 3¹ × 10141¹

Step-3: Factors of 60828

List of positive integer factors of 60828 that divides 60828 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

Step-4: Factors of 60846

List of positive integer factors of 60846 that divides 60828 without a remainder.

1, 2, 3, 6, 10141, 20282, 30423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60828 and 60846. The biggest common factor number is the GCF number.
So the greatest common factor 60828 and 60846 is 6.

Also check out the Least Common Multiple of 60828 and 60846