What is the Greatest Common Factor of 62008 and 62025?

Greatest common factor (GCF) of 62008 and 62025 is 1.

GCF(62008,62025) = 1

We will now calculate the prime factors of 62008 and 62025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62008 and 62025.

How to find the GCF of 62008 and 62025?

We will first find the prime factorization of 62008 and 62025. After we will calculate the factors of 62008 and 62025 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 62025

Prime factors of 62025 are 3, 5, 827. Prime factorization of 62025 in exponential form is:

62025 = 3¹ × 5² × 827¹

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 62025

List of positive integer factors of 62025 that divides 62008 without a remainder.

1, 3, 5, 15, 25, 75, 827, 2481, 4135, 12405, 20675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62008 and 62025. The biggest common factor number is the GCF number.
So the greatest common factor 62008 and 62025 is 1.

Also check out the Least Common Multiple of 62008 and 62025