What is the Greatest Common Factor of 62025 and 62041?

Greatest common factor (GCF) of 62025 and 62041 is 1.

GCF(62025,62041) = 1

We will now calculate the prime factors of 62025 and 62041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62025 and 62041.

How to find the GCF of 62025 and 62041?

We will first find the prime factorization of 62025 and 62041. After we will calculate the factors of 62025 and 62041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62041

Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:

62041 = 7¹ × 8863¹

Step-3: Factors of 62025

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

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

Step-4: Factors of 62041

List of positive integer factors of 62041 that divides 62025 without a remainder.

1, 7, 8863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62025 and 62041. The biggest common factor number is the GCF number.
So the greatest common factor 62025 and 62041 is 1.

Also check out the Least Common Multiple of 62025 and 62041