What is the Greatest Common Factor of 57470 and 57489?

Greatest common factor (GCF) of 57470 and 57489 is 1.

GCF(57470,57489) = 1

We will now calculate the prime factors of 57470 and 57489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57470 and 57489.

How to find the GCF of 57470 and 57489?

We will first find the prime factorization of 57470 and 57489. After we will calculate the factors of 57470 and 57489 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 57489

Prime factors of 57489 are 3, 19163. Prime factorization of 57489 in exponential form is:

57489 = 3¹ × 19163¹

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 57489

List of positive integer factors of 57489 that divides 57470 without a remainder.

1, 3, 19163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57470 and 57489. The biggest common factor number is the GCF number.
So the greatest common factor 57470 and 57489 is 1.

Also check out the Least Common Multiple of 57470 and 57489