What is the Greatest Common Factor of 58882 and 58898?

Greatest common factor (GCF) of 58882 and 58898 is 2.

GCF(58882,58898) = 2

We will now calculate the prime factors of 58882 and 58898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58882 and 58898.

How to find the GCF of 58882 and 58898?

We will first find the prime factorization of 58882 and 58898. After we will calculate the factors of 58882 and 58898 and find the biggest common factor number .

Step-1: Prime Factorization of 58882

Prime factors of 58882 are 2, 59, 499. Prime factorization of 58882 in exponential form is:

58882 = 2¹ × 59¹ × 499¹

Step-2: Prime Factorization of 58898

Prime factors of 58898 are 2, 7, 601. Prime factorization of 58898 in exponential form is:

58898 = 2¹ × 7² × 601¹

Step-3: Factors of 58882

List of positive integer factors of 58882 that divides 58882 without a remainder.

1, 2, 59, 118, 499, 998, 29441

Step-4: Factors of 58898

List of positive integer factors of 58898 that divides 58882 without a remainder.

1, 2, 7, 14, 49, 98, 601, 1202, 4207, 8414, 29449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58882 and 58898. The biggest common factor number is the GCF number.
So the greatest common factor 58882 and 58898 is 2.

Also check out the Least Common Multiple of 58882 and 58898