What is the Greatest Common Factor of 60828 and 60837?

Greatest common factor (GCF) of 60828 and 60837 is 3.

GCF(60828,60837) = 3

We will now calculate the prime factors of 60828 and 60837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60828 and 60837.

How to find the GCF of 60828 and 60837?

We will first find the prime factorization of 60828 and 60837. After we will calculate the factors of 60828 and 60837 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 60837

Prime factors of 60837 are 3, 7, 2897. Prime factorization of 60837 in exponential form is:

60837 = 3¹ × 7¹ × 2897¹

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 60837

List of positive integer factors of 60837 that divides 60828 without a remainder.

1, 3, 7, 21, 2897, 8691, 20279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60828 and 60837. The biggest common factor number is the GCF number.
So the greatest common factor 60828 and 60837 is 3.

Also check out the Least Common Multiple of 60828 and 60837