What is the Greatest Common Factor of 59142 and 59146?

Greatest common factor (GCF) of 59142 and 59146 is 2.

GCF(59142,59146) = 2

We will now calculate the prime factors of 59142 and 59146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59142 and 59146.

How to find the GCF of 59142 and 59146?

We will first find the prime factorization of 59142 and 59146. After we will calculate the factors of 59142 and 59146 and find the biggest common factor number .

Step-1: Prime Factorization of 59142

Prime factors of 59142 are 2, 3, 9857. Prime factorization of 59142 in exponential form is:

59142 = 2¹ × 3¹ × 9857¹

Step-2: Prime Factorization of 59146

Prime factors of 59146 are 2, 29573. Prime factorization of 59146 in exponential form is:

59146 = 2¹ × 29573¹

Step-3: Factors of 59142

List of positive integer factors of 59142 that divides 59142 without a remainder.

1, 2, 3, 6, 9857, 19714, 29571

Step-4: Factors of 59146

List of positive integer factors of 59146 that divides 59142 without a remainder.

1, 2, 29573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59142 and 59146. The biggest common factor number is the GCF number.
So the greatest common factor 59142 and 59146 is 2.

Also check out the Least Common Multiple of 59142 and 59146