What is the Greatest Common Factor of 5018 and 5025?

Greatest common factor (GCF) of 5018 and 5025 is 1.

GCF(5018,5025) = 1

We will now calculate the prime factors of 5018 and 5025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5018 and 5025.

How to find the GCF of 5018 and 5025?

We will first find the prime factorization of 5018 and 5025. After we will calculate the factors of 5018 and 5025 and find the biggest common factor number .

Step-1: Prime Factorization of 5018

Prime factors of 5018 are 2, 13, 193. Prime factorization of 5018 in exponential form is:

5018 = 2¹ × 13¹ × 193¹

Step-2: Prime Factorization of 5025

Prime factors of 5025 are 3, 5, 67. Prime factorization of 5025 in exponential form is:

5025 = 3¹ × 5² × 67¹

Step-3: Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1, 2, 13, 26, 193, 386, 2509

Step-4: Factors of 5025

List of positive integer factors of 5025 that divides 5018 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5018 and 5025. The biggest common factor number is the GCF number.
So the greatest common factor 5018 and 5025 is 1.

Also check out the Least Common Multiple of 5018 and 5025