What is the Greatest Common Factor of 59140 and 59158?

Greatest common factor (GCF) of 59140 and 59158 is 2.

GCF(59140,59158) = 2

We will now calculate the prime factors of 59140 and 59158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59140 and 59158.

How to find the GCF of 59140 and 59158?

We will first find the prime factorization of 59140 and 59158. After we will calculate the factors of 59140 and 59158 and find the biggest common factor number .

Step-1: Prime Factorization of 59140

Prime factors of 59140 are 2, 5, 2957. Prime factorization of 59140 in exponential form is:

59140 = 2² × 5¹ × 2957¹

Step-2: Prime Factorization of 59158

Prime factors of 59158 are 2, 11, 2689. Prime factorization of 59158 in exponential form is:

59158 = 2¹ × 11¹ × 2689¹

Step-3: Factors of 59140

List of positive integer factors of 59140 that divides 59140 without a remainder.

1, 2, 4, 5, 10, 20, 2957, 5914, 11828, 14785, 29570

Step-4: Factors of 59158

List of positive integer factors of 59158 that divides 59140 without a remainder.

1, 2, 11, 22, 2689, 5378, 29579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59140 and 59158. The biggest common factor number is the GCF number.
So the greatest common factor 59140 and 59158 is 2.

Also check out the Least Common Multiple of 59140 and 59158