What is the Greatest Common Factor of 62020 and 62034?

Greatest common factor (GCF) of 62020 and 62034 is 14.

GCF(62020,62034) = 14

We will now calculate the prime factors of 62020 and 62034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62020 and 62034.

How to find the GCF of 62020 and 62034?

We will first find the prime factorization of 62020 and 62034. After we will calculate the factors of 62020 and 62034 and find the biggest common factor number .

Step-1: Prime Factorization of 62020

Prime factors of 62020 are 2, 5, 7, 443. Prime factorization of 62020 in exponential form is:

62020 = 2² × 5¹ × 7¹ × 443¹

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 62020

List of positive integer factors of 62020 that divides 62020 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 443, 886, 1772, 2215, 3101, 4430, 6202, 8860, 12404, 15505, 31010

Step-4: Factors of 62034

List of positive integer factors of 62034 that divides 62020 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 62020 and 62034. The biggest common factor number is the GCF number.
So the greatest common factor 62020 and 62034 is 14.

Also check out the Least Common Multiple of 62020 and 62034