What is the Greatest Common Factor of 57090 and 57100?

Greatest common factor (GCF) of 57090 and 57100 is 10.

GCF(57090,57100) = 10

We will now calculate the prime factors of 57090 and 57100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57090 and 57100.

How to find the GCF of 57090 and 57100?

We will first find the prime factorization of 57090 and 57100. After we will calculate the factors of 57090 and 57100 and find the biggest common factor number .

Step-1: Prime Factorization of 57090

Prime factors of 57090 are 2, 3, 5, 11, 173. Prime factorization of 57090 in exponential form is:

57090 = 2¹ × 3¹ × 5¹ × 11¹ × 173¹

Step-2: Prime Factorization of 57100

Prime factors of 57100 are 2, 5, 571. Prime factorization of 57100 in exponential form is:

57100 = 2² × 5² × 571¹

Step-3: Factors of 57090

List of positive integer factors of 57090 that divides 57090 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 173, 330, 346, 519, 865, 1038, 1730, 1903, 2595, 3806, 5190, 5709, 9515, 11418, 19030, 28545

Step-4: Factors of 57100

List of positive integer factors of 57100 that divides 57090 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 571, 1142, 2284, 2855, 5710, 11420, 14275, 28550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57090 and 57100. The biggest common factor number is the GCF number.
So the greatest common factor 57090 and 57100 is 10.

Also check out the Least Common Multiple of 57090 and 57100