What is the Greatest Common Factor of 57477 and 57495?

Greatest common factor (GCF) of 57477 and 57495 is 3.

GCF(57477,57495) = 3

We will now calculate the prime factors of 57477 and 57495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57477 and 57495.

How to find the GCF of 57477 and 57495?

We will first find the prime factorization of 57477 and 57495. After we will calculate the factors of 57477 and 57495 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57495

Prime factors of 57495 are 3, 5, 3833. Prime factorization of 57495 in exponential form is:

57495 = 3¹ × 5¹ × 3833¹

Step-3: Factors of 57477

List of positive integer factors of 57477 that divides 57477 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

Step-4: Factors of 57495

List of positive integer factors of 57495 that divides 57477 without a remainder.

1, 3, 5, 15, 3833, 11499, 19165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57477 and 57495. The biggest common factor number is the GCF number.
So the greatest common factor 57477 and 57495 is 3.

Also check out the Least Common Multiple of 57477 and 57495