What is the Greatest Common Factor of 58438 and 58451?

Greatest common factor (GCF) of 58438 and 58451 is 1.

GCF(58438,58451) = 1

We will now calculate the prime factors of 58438 and 58451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58438 and 58451.

How to find the GCF of 58438 and 58451?

We will first find the prime factorization of 58438 and 58451. After we will calculate the factors of 58438 and 58451 and find the biggest common factor number .

Step-1: Prime Factorization of 58438

Prime factors of 58438 are 2, 61, 479. Prime factorization of 58438 in exponential form is:

58438 = 2¹ × 61¹ × 479¹

Step-2: Prime Factorization of 58451

Prime factors of 58451 are 58451. Prime factorization of 58451 in exponential form is:

58451 = 58451¹

Step-3: Factors of 58438

List of positive integer factors of 58438 that divides 58438 without a remainder.

1, 2, 61, 122, 479, 958, 29219

Step-4: Factors of 58451

List of positive integer factors of 58451 that divides 58438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58438 and 58451. The biggest common factor number is the GCF number.
So the greatest common factor 58438 and 58451 is 1.

Also check out the Least Common Multiple of 58438 and 58451