What is the Greatest Common Factor of 62018 and 62034?

Greatest common factor (GCF) of 62018 and 62034 is 2.

GCF(62018,62034) = 2

We will now calculate the prime factors of 62018 and 62034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62018 and 62034.

How to find the GCF of 62018 and 62034?

We will first find the prime factorization of 62018 and 62034. After we will calculate the factors of 62018 and 62034 and find the biggest common factor number .

Step-1: Prime Factorization of 62018

Prime factors of 62018 are 2, 11, 2819. Prime factorization of 62018 in exponential form is:

62018 = 2¹ × 11¹ × 2819¹

Step-2: Prime Factorization of 62034

Prime factors of 62034 are 2, 3, 7, 211. Prime factorization of 62034 in exponential form is:

62034 = 2¹ × 3¹ × 7² × 211¹

Step-3: Factors of 62018

List of positive integer factors of 62018 that divides 62018 without a remainder.

1, 2, 11, 22, 2819, 5638, 31009

Step-4: Factors of 62034

List of positive integer factors of 62034 that divides 62018 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 211, 294, 422, 633, 1266, 1477, 2954, 4431, 8862, 10339, 20678, 31017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62018 and 62034. The biggest common factor number is the GCF number.
So the greatest common factor 62018 and 62034 is 2.

Also check out the Least Common Multiple of 62018 and 62034