What is the Greatest Common Factor of 62028 and 62038?

Greatest common factor (GCF) of 62028 and 62038 is 2.

GCF(62028,62038) = 2

We will now calculate the prime factors of 62028 and 62038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62028 and 62038.

How to find the GCF of 62028 and 62038?

We will first find the prime factorization of 62028 and 62038. After we will calculate the factors of 62028 and 62038 and find the biggest common factor number .

Step-1: Prime Factorization of 62028

Prime factors of 62028 are 2, 3, 1723. Prime factorization of 62028 in exponential form is:

62028 = 2² × 3² × 1723¹

Step-2: Prime Factorization of 62038

Prime factors of 62038 are 2, 31019. Prime factorization of 62038 in exponential form is:

62038 = 2¹ × 31019¹

Step-3: Factors of 62028

List of positive integer factors of 62028 that divides 62028 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1723, 3446, 5169, 6892, 10338, 15507, 20676, 31014

Step-4: Factors of 62038

List of positive integer factors of 62038 that divides 62028 without a remainder.

1, 2, 31019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62028 and 62038. The biggest common factor number is the GCF number.
So the greatest common factor 62028 and 62038 is 2.

Also check out the Least Common Multiple of 62028 and 62038