What is the Greatest Common Factor of 58654 and 58658?

Greatest common factor (GCF) of 58654 and 58658 is 2.

GCF(58654,58658) = 2

We will now calculate the prime factors of 58654 and 58658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58654 and 58658.

How to find the GCF of 58654 and 58658?

We will first find the prime factorization of 58654 and 58658. After we will calculate the factors of 58654 and 58658 and find the biggest common factor number .

Step-1: Prime Factorization of 58654

Prime factors of 58654 are 2, 29327. Prime factorization of 58654 in exponential form is:

58654 = 2¹ × 29327¹

Step-2: Prime Factorization of 58658

Prime factors of 58658 are 2, 139, 211. Prime factorization of 58658 in exponential form is:

58658 = 2¹ × 139¹ × 211¹

Step-3: Factors of 58654

List of positive integer factors of 58654 that divides 58654 without a remainder.

1, 2, 29327

Step-4: Factors of 58658

List of positive integer factors of 58658 that divides 58654 without a remainder.

1, 2, 139, 211, 278, 422, 29329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58654 and 58658. The biggest common factor number is the GCF number.
So the greatest common factor 58654 and 58658 is 2.

Also check out the Least Common Multiple of 58654 and 58658