What is the Greatest Common Factor of 57480 and 57487?

Greatest common factor (GCF) of 57480 and 57487 is 1.

GCF(57480,57487) = 1

We will now calculate the prime factors of 57480 and 57487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57480 and 57487.

How to find the GCF of 57480 and 57487?

We will first find the prime factorization of 57480 and 57487. After we will calculate the factors of 57480 and 57487 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57487

Prime factors of 57487 are 57487. Prime factorization of 57487 in exponential form is:

57487 = 57487¹

Step-3: Factors of 57480

List of positive integer factors of 57480 that divides 57480 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

Step-4: Factors of 57487

List of positive integer factors of 57487 that divides 57480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57480 and 57487. The biggest common factor number is the GCF number.
So the greatest common factor 57480 and 57487 is 1.

Also check out the Least Common Multiple of 57480 and 57487