What is the Greatest Common Factor of 58346 and 58352?

Greatest common factor (GCF) of 58346 and 58352 is 2.

GCF(58346,58352) = 2

We will now calculate the prime factors of 58346 and 58352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58346 and 58352.

How to find the GCF of 58346 and 58352?

We will first find the prime factorization of 58346 and 58352. After we will calculate the factors of 58346 and 58352 and find the biggest common factor number .

Step-1: Prime Factorization of 58346

Prime factors of 58346 are 2, 29173. Prime factorization of 58346 in exponential form is:

58346 = 2¹ × 29173¹

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 58346

List of positive integer factors of 58346 that divides 58346 without a remainder.

1, 2, 29173

Step-4: Factors of 58352

List of positive integer factors of 58352 that divides 58346 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 58346 and 58352. The biggest common factor number is the GCF number.
So the greatest common factor 58346 and 58352 is 2.

Also check out the Least Common Multiple of 58346 and 58352