What is the Greatest Common Factor of 57464 and 57477?

Greatest common factor (GCF) of 57464 and 57477 is 1.

GCF(57464,57477) = 1

We will now calculate the prime factors of 57464 and 57477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57464 and 57477.

How to find the GCF of 57464 and 57477?

We will first find the prime factorization of 57464 and 57477. After we will calculate the factors of 57464 and 57477 and find the biggest common factor number .

Step-1: Prime Factorization of 57464

Prime factors of 57464 are 2, 11, 653. Prime factorization of 57464 in exponential form is:

57464 = 2³ × 11¹ × 653¹

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 57464

List of positive integer factors of 57464 that divides 57464 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 653, 1306, 2612, 5224, 7183, 14366, 28732

Step-4: Factors of 57477

List of positive integer factors of 57477 that divides 57464 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 57464 and 57477. The biggest common factor number is the GCF number.
So the greatest common factor 57464 and 57477 is 1.

Also check out the Least Common Multiple of 57464 and 57477