What is the Greatest Common Factor of 57477 and 57491?

Greatest common factor (GCF) of 57477 and 57491 is 7.

GCF(57477,57491) = 7

We will now calculate the prime factors of 57477 and 57491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57477 and 57491.

How to find the GCF of 57477 and 57491?

We will first find the prime factorization of 57477 and 57491. After we will calculate the factors of 57477 and 57491 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 57491

Prime factors of 57491 are 7, 43, 191. Prime factorization of 57491 in exponential form is:

57491 = 7¹ × 43¹ × 191¹

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 57491

List of positive integer factors of 57491 that divides 57477 without a remainder.

1, 7, 43, 191, 301, 1337, 8213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57477 and 57491. The biggest common factor number is the GCF number.
So the greatest common factor 57477 and 57491 is 7.

Also check out the Least Common Multiple of 57477 and 57491