What is the Greatest Common Factor of 62008 and 62028?

Greatest common factor (GCF) of 62008 and 62028 is 4.

GCF(62008,62028) = 4

We will now calculate the prime factors of 62008 and 62028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62008 and 62028.

How to find the GCF of 62008 and 62028?

We will first find the prime factorization of 62008 and 62028. After we will calculate the factors of 62008 and 62028 and find the biggest common factor number .

Step-1: Prime Factorization of 62008

Prime factors of 62008 are 2, 23, 337. Prime factorization of 62008 in exponential form is:

62008 = 2³ × 23¹ × 337¹

Step-2: 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-3: Factors of 62008

List of positive integer factors of 62008 that divides 62008 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 337, 674, 1348, 2696, 7751, 15502, 31004

Step-4: Factors of 62028

List of positive integer factors of 62028 that divides 62008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62008 and 62028. The biggest common factor number is the GCF number.
So the greatest common factor 62008 and 62028 is 4.

Also check out the Least Common Multiple of 62008 and 62028