What is the Greatest Common Factor of 58352 and 58357?

Greatest common factor (GCF) of 58352 and 58357 is 1.

GCF(58352,58357) = 1

We will now calculate the prime factors of 58352 and 58357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58352 and 58357.

How to find the GCF of 58352 and 58357?

We will first find the prime factorization of 58352 and 58357. After we will calculate the factors of 58352 and 58357 and find the biggest common factor number .

Step-1: Prime Factorization of 58352

Prime factors of 58352 are 2, 7, 521. Prime factorization of 58352 in exponential form is:

58352 = 2⁴ × 7¹ × 521¹

Step-2: Prime Factorization of 58357

Prime factors of 58357 are 13, 67. Prime factorization of 58357 in exponential form is:

58357 = 13¹ × 67²

Step-3: Factors of 58352

List of positive integer factors of 58352 that divides 58352 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 521, 1042, 2084, 3647, 4168, 7294, 8336, 14588, 29176

Step-4: Factors of 58357

List of positive integer factors of 58357 that divides 58352 without a remainder.

1, 13, 67, 871, 4489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58352 and 58357. The biggest common factor number is the GCF number.
So the greatest common factor 58352 and 58357 is 1.

Also check out the Least Common Multiple of 58352 and 58357