What is the Greatest Common Factor of 58898 and 58912?

Greatest common factor (GCF) of 58898 and 58912 is 14.

GCF(58898,58912) = 14

We will now calculate the prime factors of 58898 and 58912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58898 and 58912.

How to find the GCF of 58898 and 58912?

We will first find the prime factorization of 58898 and 58912. After we will calculate the factors of 58898 and 58912 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58912

Prime factors of 58912 are 2, 7, 263. Prime factorization of 58912 in exponential form is:

58912 = 2⁵ × 7¹ × 263¹

Step-3: Factors of 58898

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

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

Step-4: Factors of 58912

List of positive integer factors of 58912 that divides 58898 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 263, 526, 1052, 1841, 2104, 3682, 4208, 7364, 8416, 14728, 29456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58898 and 58912. The biggest common factor number is the GCF number.
So the greatest common factor 58898 and 58912 is 14.

Also check out the Least Common Multiple of 58898 and 58912