What is the Greatest Common Factor of 62140 and 62158?

Greatest common factor (GCF) of 62140 and 62158 is 2.

GCF(62140,62158) = 2

We will now calculate the prime factors of 62140 and 62158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62140 and 62158.

How to find the GCF of 62140 and 62158?

We will first find the prime factorization of 62140 and 62158. After we will calculate the factors of 62140 and 62158 and find the biggest common factor number .

Step-1: Prime Factorization of 62140

Prime factors of 62140 are 2, 5, 13, 239. Prime factorization of 62140 in exponential form is:

62140 = 2² × 5¹ × 13¹ × 239¹

Step-2: Prime Factorization of 62158

Prime factors of 62158 are 2, 31079. Prime factorization of 62158 in exponential form is:

62158 = 2¹ × 31079¹

Step-3: Factors of 62140

List of positive integer factors of 62140 that divides 62140 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 239, 260, 478, 956, 1195, 2390, 3107, 4780, 6214, 12428, 15535, 31070

Step-4: Factors of 62158

List of positive integer factors of 62158 that divides 62140 without a remainder.

1, 2, 31079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62140 and 62158. The biggest common factor number is the GCF number.
So the greatest common factor 62140 and 62158 is 2.

Also check out the Least Common Multiple of 62140 and 62158