What is the Greatest Common Factor of 62005 and 62025?

Greatest common factor (GCF) of 62005 and 62025 is 5.

GCF(62005,62025) = 5

We will now calculate the prime factors of 62005 and 62025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62005 and 62025.

How to find the GCF of 62005 and 62025?

We will first find the prime factorization of 62005 and 62025. After we will calculate the factors of 62005 and 62025 and find the biggest common factor number .

Step-1: Prime Factorization of 62005

Prime factors of 62005 are 5, 12401. Prime factorization of 62005 in exponential form is:

62005 = 5¹ × 12401¹

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 62005

List of positive integer factors of 62005 that divides 62005 without a remainder.

1, 5, 12401

Step-4: Factors of 62025

List of positive integer factors of 62025 that divides 62005 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 62005 and 62025. The biggest common factor number is the GCF number.
So the greatest common factor 62005 and 62025 is 5.

Also check out the Least Common Multiple of 62005 and 62025