What is the Greatest Common Factor of 57470 and 57480?

Greatest common factor (GCF) of 57470 and 57480 is 10.

GCF(57470,57480) = 10

We will now calculate the prime factors of 57470 and 57480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57470 and 57480.

How to find the GCF of 57470 and 57480?

We will first find the prime factorization of 57470 and 57480. After we will calculate the factors of 57470 and 57480 and find the biggest common factor number .

Step-1: Prime Factorization of 57470

Prime factors of 57470 are 2, 5, 7, 821. Prime factorization of 57470 in exponential form is:

57470 = 2¹ × 5¹ × 7¹ × 821¹

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 57470

List of positive integer factors of 57470 that divides 57470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 821, 1642, 4105, 5747, 8210, 11494, 28735

Step-4: Factors of 57480

List of positive integer factors of 57480 that divides 57470 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 57470 and 57480. The biggest common factor number is the GCF number.
So the greatest common factor 57470 and 57480 is 10.

Also check out the Least Common Multiple of 57470 and 57480