What is the Greatest Common Factor of 58274 and 58288?

Greatest common factor (GCF) of 58274 and 58288 is 2.

GCF(58274,58288) = 2

We will now calculate the prime factors of 58274 and 58288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58274 and 58288.

How to find the GCF of 58274 and 58288?

We will first find the prime factorization of 58274 and 58288. After we will calculate the factors of 58274 and 58288 and find the biggest common factor number .

Step-1: Prime Factorization of 58274

Prime factors of 58274 are 2, 29137. Prime factorization of 58274 in exponential form is:

58274 = 2¹ × 29137¹

Step-2: Prime Factorization of 58288

Prime factors of 58288 are 2, 3643. Prime factorization of 58288 in exponential form is:

58288 = 2⁴ × 3643¹

Step-3: Factors of 58274

List of positive integer factors of 58274 that divides 58274 without a remainder.

1, 2, 29137

Step-4: Factors of 58288

List of positive integer factors of 58288 that divides 58274 without a remainder.

1, 2, 4, 8, 16, 3643, 7286, 14572, 29144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58274 and 58288. The biggest common factor number is the GCF number.
So the greatest common factor 58274 and 58288 is 2.

Also check out the Least Common Multiple of 58274 and 58288