What is the Greatest Common Factor of 57477 and 57484?

Greatest common factor (GCF) of 57477 and 57484 is 7.

GCF(57477,57484) = 7

We will now calculate the prime factors of 57477 and 57484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57477 and 57484.

How to find the GCF of 57477 and 57484?

We will first find the prime factorization of 57477 and 57484. After we will calculate the factors of 57477 and 57484 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 57484

Prime factors of 57484 are 2, 7, 2053. Prime factorization of 57484 in exponential form is:

57484 = 2² × 7¹ × 2053¹

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 57484

List of positive integer factors of 57484 that divides 57477 without a remainder.

1, 2, 4, 7, 14, 28, 2053, 4106, 8212, 14371, 28742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57477 and 57484. The biggest common factor number is the GCF number.
So the greatest common factor 57477 and 57484 is 7.

Also check out the Least Common Multiple of 57477 and 57484