What is the Greatest Common Factor of 6084 and 6100?

Greatest common factor (GCF) of 6084 and 6100 is 4.

GCF(6084,6100) = 4

We will now calculate the prime factors of 6084 and 6100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6084 and 6100.

How to find the GCF of 6084 and 6100?

We will first find the prime factorization of 6084 and 6100. After we will calculate the factors of 6084 and 6100 and find the biggest common factor number .

Step-1: Prime Factorization of 6084

Prime factors of 6084 are 2, 3, 13. Prime factorization of 6084 in exponential form is:

6084 = 2² × 3² × 13²

Step-2: Prime Factorization of 6100

Prime factors of 6100 are 2, 5, 61. Prime factorization of 6100 in exponential form is:

6100 = 2² × 5² × 61¹

Step-3: Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 676, 1014, 1521, 2028, 3042

Step-4: Factors of 6100

List of positive integer factors of 6100 that divides 6084 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6084 and 6100. The biggest common factor number is the GCF number.
So the greatest common factor 6084 and 6100 is 4.

Also check out the Least Common Multiple of 6084 and 6100