What is the Greatest Common Factor of 62034 and 62044?

Greatest common factor (GCF) of 62034 and 62044 is 2.

GCF(62034,62044) = 2

We will now calculate the prime factors of 62034 and 62044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62034 and 62044.

How to find the GCF of 62034 and 62044?

We will first find the prime factorization of 62034 and 62044. After we will calculate the factors of 62034 and 62044 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62044

Prime factors of 62044 are 2, 15511. Prime factorization of 62044 in exponential form is:

62044 = 2² × 15511¹

Step-3: Factors of 62034

List of positive integer factors of 62034 that divides 62034 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

Step-4: Factors of 62044

List of positive integer factors of 62044 that divides 62034 without a remainder.

1, 2, 4, 15511, 31022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62034 and 62044. The biggest common factor number is the GCF number.
So the greatest common factor 62034 and 62044 is 2.

Also check out the Least Common Multiple of 62034 and 62044