What is the Greatest Common Factor of 62026 and 62034?

Greatest common factor (GCF) of 62026 and 62034 is 2.

GCF(62026,62034) = 2

We will now calculate the prime factors of 62026 and 62034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62026 and 62034.

How to find the GCF of 62026 and 62034?

We will first find the prime factorization of 62026 and 62034. After we will calculate the factors of 62026 and 62034 and find the biggest common factor number .

Step-1: Prime Factorization of 62026

Prime factors of 62026 are 2, 31013. Prime factorization of 62026 in exponential form is:

62026 = 2¹ × 31013¹

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 62026

List of positive integer factors of 62026 that divides 62026 without a remainder.

1, 2, 31013

Step-4: Factors of 62034

List of positive integer factors of 62034 that divides 62026 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 62026 and 62034. The biggest common factor number is the GCF number.
So the greatest common factor 62026 and 62034 is 2.

Also check out the Least Common Multiple of 62026 and 62034