What is the Greatest Common Factor of 58912 and 58930?

Greatest common factor (GCF) of 58912 and 58930 is 2.

GCF(58912,58930) = 2

We will now calculate the prime factors of 58912 and 58930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58912 and 58930.

How to find the GCF of 58912 and 58930?

We will first find the prime factorization of 58912 and 58930. After we will calculate the factors of 58912 and 58930 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58930

Prime factors of 58930 are 2, 5, 71, 83. Prime factorization of 58930 in exponential form is:

58930 = 2¹ × 5¹ × 71¹ × 83¹

Step-3: Factors of 58912

List of positive integer factors of 58912 that divides 58912 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

Step-4: Factors of 58930

List of positive integer factors of 58930 that divides 58912 without a remainder.

1, 2, 5, 10, 71, 83, 142, 166, 355, 415, 710, 830, 5893, 11786, 29465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58912 and 58930. The biggest common factor number is the GCF number.
So the greatest common factor 58912 and 58930 is 2.

Also check out the Least Common Multiple of 58912 and 58930