What is the Greatest Common Factor of 58345 and 58352?

Greatest common factor (GCF) of 58345 and 58352 is 7.

GCF(58345,58352) = 7

We will now calculate the prime factors of 58345 and 58352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58345 and 58352.

How to find the GCF of 58345 and 58352?

We will first find the prime factorization of 58345 and 58352. After we will calculate the factors of 58345 and 58352 and find the biggest common factor number .

Step-1: Prime Factorization of 58345

Prime factors of 58345 are 5, 7, 1667. Prime factorization of 58345 in exponential form is:

58345 = 5¹ × 7¹ × 1667¹

Step-2: 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-3: Factors of 58345

List of positive integer factors of 58345 that divides 58345 without a remainder.

1, 5, 7, 35, 1667, 8335, 11669

Step-4: Factors of 58352

List of positive integer factors of 58352 that divides 58345 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58345 and 58352. The biggest common factor number is the GCF number.
So the greatest common factor 58345 and 58352 is 7.

Also check out the Least Common Multiple of 58345 and 58352