What is the Greatest Common Factor of 58156 and 58170?

Greatest common factor (GCF) of 58156 and 58170 is 14.

GCF(58156,58170) = 14

We will now calculate the prime factors of 58156 and 58170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58156 and 58170.

How to find the GCF of 58156 and 58170?

We will first find the prime factorization of 58156 and 58170. After we will calculate the factors of 58156 and 58170 and find the biggest common factor number .

Step-1: Prime Factorization of 58156

Prime factors of 58156 are 2, 7, 31, 67. Prime factorization of 58156 in exponential form is:

58156 = 2² × 7¹ × 31¹ × 67¹

Step-2: Prime Factorization of 58170

Prime factors of 58170 are 2, 3, 5, 7, 277. Prime factorization of 58170 in exponential form is:

58170 = 2¹ × 3¹ × 5¹ × 7¹ × 277¹

Step-3: Factors of 58156

List of positive integer factors of 58156 that divides 58156 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 67, 124, 134, 217, 268, 434, 469, 868, 938, 1876, 2077, 4154, 8308, 14539, 29078

Step-4: Factors of 58170

List of positive integer factors of 58170 that divides 58156 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 277, 554, 831, 1385, 1662, 1939, 2770, 3878, 4155, 5817, 8310, 9695, 11634, 19390, 29085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58156 and 58170. The biggest common factor number is the GCF number.
So the greatest common factor 58156 and 58170 is 14.

Also check out the Least Common Multiple of 58156 and 58170