What is the Greatest Common Factor of 57450 and 57470?

Greatest common factor (GCF) of 57450 and 57470 is 10.

GCF(57450,57470) = 10

We will now calculate the prime factors of 57450 and 57470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57450 and 57470.

How to find the GCF of 57450 and 57470?

We will first find the prime factorization of 57450 and 57470. After we will calculate the factors of 57450 and 57470 and find the biggest common factor number .

Step-1: Prime Factorization of 57450

Prime factors of 57450 are 2, 3, 5, 383. Prime factorization of 57450 in exponential form is:

57450 = 2¹ × 3¹ × 5² × 383¹

Step-2: 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-3: Factors of 57450

List of positive integer factors of 57450 that divides 57450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 383, 766, 1149, 1915, 2298, 3830, 5745, 9575, 11490, 19150, 28725

Step-4: Factors of 57470

List of positive integer factors of 57470 that divides 57450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57450 and 57470. The biggest common factor number is the GCF number.
So the greatest common factor 57450 and 57470 is 10.

Also check out the Least Common Multiple of 57450 and 57470