What is the Greatest Common Factor of 6090 and 6100?

Greatest common factor (GCF) of 6090 and 6100 is 10.

GCF(6090,6100) = 10

We will now calculate the prime factors of 6090 and 6100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6090 and 6100.

How to find the GCF of 6090 and 6100?

We will first find the prime factorization of 6090 and 6100. After we will calculate the factors of 6090 and 6100 and find the biggest common factor number .

Step-1: Prime Factorization of 6090

Prime factors of 6090 are 2, 3, 5, 7, 29. Prime factorization of 6090 in exponential form is:

6090 = 2¹ × 3¹ × 5¹ × 7¹ × 29¹

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 6090

List of positive integer factors of 6090 that divides 6090 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 29, 30, 35, 42, 58, 70, 87, 105, 145, 174, 203, 210, 290, 406, 435, 609, 870, 1015, 1218, 2030, 3045

Step-4: Factors of 6100

List of positive integer factors of 6100 that divides 6090 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 6090 and 6100. The biggest common factor number is the GCF number.
So the greatest common factor 6090 and 6100 is 10.

Also check out the Least Common Multiple of 6090 and 6100