What is the Greatest Common Factor of 58856 and 58870?

Greatest common factor (GCF) of 58856 and 58870 is 14.

GCF(58856,58870) = 14

We will now calculate the prime factors of 58856 and 58870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58856 and 58870.

How to find the GCF of 58856 and 58870?

We will first find the prime factorization of 58856 and 58870. After we will calculate the factors of 58856 and 58870 and find the biggest common factor number .

Step-1: Prime Factorization of 58856

Prime factors of 58856 are 2, 7, 1051. Prime factorization of 58856 in exponential form is:

58856 = 2³ × 7¹ × 1051¹

Step-2: Prime Factorization of 58870

Prime factors of 58870 are 2, 5, 7, 29. Prime factorization of 58870 in exponential form is:

58870 = 2¹ × 5¹ × 7¹ × 29²

Step-3: Factors of 58856

List of positive integer factors of 58856 that divides 58856 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1051, 2102, 4204, 7357, 8408, 14714, 29428

Step-4: Factors of 58870

List of positive integer factors of 58870 that divides 58856 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 841, 1015, 1682, 2030, 4205, 5887, 8410, 11774, 29435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58856 and 58870. The biggest common factor number is the GCF number.
So the greatest common factor 58856 and 58870 is 14.

Also check out the Least Common Multiple of 58856 and 58870