What is the Greatest Common Factor of 57458 and 57477?

Greatest common factor (GCF) of 57458 and 57477 is 1.

GCF(57458,57477) = 1

We will now calculate the prime factors of 57458 and 57477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57458 and 57477.

How to find the GCF of 57458 and 57477?

We will first find the prime factorization of 57458 and 57477. After we will calculate the factors of 57458 and 57477 and find the biggest common factor number .

Step-1: Prime Factorization of 57458

Prime factors of 57458 are 2, 28729. Prime factorization of 57458 in exponential form is:

57458 = 2¹ × 28729¹

Step-2: Prime Factorization of 57477

Prime factors of 57477 are 3, 7, 17, 23. Prime factorization of 57477 in exponential form is:

57477 = 3¹ × 7² × 17¹ × 23¹

Step-3: Factors of 57458

List of positive integer factors of 57458 that divides 57458 without a remainder.

1, 2, 28729

Step-4: Factors of 57477

List of positive integer factors of 57477 that divides 57458 without a remainder.

1, 3, 7, 17, 21, 23, 49, 51, 69, 119, 147, 161, 357, 391, 483, 833, 1127, 1173, 2499, 2737, 3381, 8211, 19159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57458 and 57477. The biggest common factor number is the GCF number.
So the greatest common factor 57458 and 57477 is 1.

Also check out the Least Common Multiple of 57458 and 57477