What is the Greatest Common Factor of 59158 and 59162?

Greatest common factor (GCF) of 59158 and 59162 is 2.

GCF(59158,59162) = 2

We will now calculate the prime factors of 59158 and 59162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59158 and 59162.

How to find the GCF of 59158 and 59162?

We will first find the prime factorization of 59158 and 59162. After we will calculate the factors of 59158 and 59162 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59162

Prime factors of 59162 are 2, 29581. Prime factorization of 59162 in exponential form is:

59162 = 2¹ × 29581¹

Step-3: Factors of 59158

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

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

Step-4: Factors of 59162

List of positive integer factors of 59162 that divides 59158 without a remainder.

1, 2, 29581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59158 and 59162. The biggest common factor number is the GCF number.
So the greatest common factor 59158 and 59162 is 2.

Also check out the Least Common Multiple of 59158 and 59162