What is the Greatest Common Factor of 57476 and 57480?

Greatest common factor (GCF) of 57476 and 57480 is 4.

GCF(57476,57480) = 4

We will now calculate the prime factors of 57476 and 57480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57476 and 57480.

How to find the GCF of 57476 and 57480?

We will first find the prime factorization of 57476 and 57480. After we will calculate the factors of 57476 and 57480 and find the biggest common factor number .

Step-1: Prime Factorization of 57476

Prime factors of 57476 are 2, 14369. Prime factorization of 57476 in exponential form is:

57476 = 2² × 14369¹

Step-2: Prime Factorization of 57480

Prime factors of 57480 are 2, 3, 5, 479. Prime factorization of 57480 in exponential form is:

57480 = 2³ × 3¹ × 5¹ × 479¹

Step-3: Factors of 57476

List of positive integer factors of 57476 that divides 57476 without a remainder.

1, 2, 4, 14369, 28738

Step-4: Factors of 57480

List of positive integer factors of 57480 that divides 57476 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 479, 958, 1437, 1916, 2395, 2874, 3832, 4790, 5748, 7185, 9580, 11496, 14370, 19160, 28740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57476 and 57480. The biggest common factor number is the GCF number.
So the greatest common factor 57476 and 57480 is 4.

Also check out the Least Common Multiple of 57476 and 57480