What is the Greatest Common Factor of 57905 and 57921?

Greatest common factor (GCF) of 57905 and 57921 is 1.

GCF(57905,57921) = 1

We will now calculate the prime factors of 57905 and 57921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57905 and 57921.

How to find the GCF of 57905 and 57921?

We will first find the prime factorization of 57905 and 57921. After we will calculate the factors of 57905 and 57921 and find the biggest common factor number .

Step-1: Prime Factorization of 57905

Prime factors of 57905 are 5, 37, 313. Prime factorization of 57905 in exponential form is:

57905 = 5¹ × 37¹ × 313¹

Step-2: Prime Factorization of 57921

Prime factors of 57921 are 3, 43, 449. Prime factorization of 57921 in exponential form is:

57921 = 3¹ × 43¹ × 449¹

Step-3: Factors of 57905

List of positive integer factors of 57905 that divides 57905 without a remainder.

1, 5, 37, 185, 313, 1565, 11581

Step-4: Factors of 57921

List of positive integer factors of 57921 that divides 57905 without a remainder.

1, 3, 43, 129, 449, 1347, 19307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57905 and 57921. The biggest common factor number is the GCF number.
So the greatest common factor 57905 and 57921 is 1.

Also check out the Least Common Multiple of 57905 and 57921