What is the Greatest Common Factor of 57072 and 57090?

Greatest common factor (GCF) of 57072 and 57090 is 6.

GCF(57072,57090) = 6

We will now calculate the prime factors of 57072 and 57090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57072 and 57090.

How to find the GCF of 57072 and 57090?

We will first find the prime factorization of 57072 and 57090. After we will calculate the factors of 57072 and 57090 and find the biggest common factor number .

Step-1: Prime Factorization of 57072

Prime factors of 57072 are 2, 3, 29, 41. Prime factorization of 57072 in exponential form is:

57072 = 2⁴ × 3¹ × 29¹ × 41¹

Step-2: 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-3: Factors of 57072

List of positive integer factors of 57072 that divides 57072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 41, 48, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 464, 492, 656, 696, 984, 1189, 1392, 1968, 2378, 3567, 4756, 7134, 9512, 14268, 19024, 28536

Step-4: Factors of 57090

List of positive integer factors of 57090 that divides 57072 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57072 and 57090. The biggest common factor number is the GCF number.
So the greatest common factor 57072 and 57090 is 6.

Also check out the Least Common Multiple of 57072 and 57090