What is the Greatest Common Factor of 57407 and 57421?

Greatest common factor (GCF) of 57407 and 57421 is 7.

GCF(57407,57421) = 7

We will now calculate the prime factors of 57407 and 57421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57407 and 57421.

How to find the GCF of 57407 and 57421?

We will first find the prime factorization of 57407 and 57421. After we will calculate the factors of 57407 and 57421 and find the biggest common factor number .

Step-1: Prime Factorization of 57407

Prime factors of 57407 are 7, 59, 139. Prime factorization of 57407 in exponential form is:

57407 = 7¹ × 59¹ × 139¹

Step-2: Prime Factorization of 57421

Prime factors of 57421 are 7, 13, 631. Prime factorization of 57421 in exponential form is:

57421 = 7¹ × 13¹ × 631¹

Step-3: Factors of 57407

List of positive integer factors of 57407 that divides 57407 without a remainder.

1, 7, 59, 139, 413, 973, 8201

Step-4: Factors of 57421

List of positive integer factors of 57421 that divides 57407 without a remainder.

1, 7, 13, 91, 631, 4417, 8203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57407 and 57421. The biggest common factor number is the GCF number.
So the greatest common factor 57407 and 57421 is 7.

Also check out the Least Common Multiple of 57407 and 57421