What is the Greatest Common Factor of 3025 and 3038?

Greatest common factor (GCF) of 3025 and 3038 is 1.

GCF(3025,3038) = 1

We will now calculate the prime factors of 3025 and 3038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3025 and 3038.

How to find the GCF of 3025 and 3038?

We will first find the prime factorization of 3025 and 3038. After we will calculate the factors of 3025 and 3038 and find the biggest common factor number .

Step-1: Prime Factorization of 3025

Prime factors of 3025 are 5, 11. Prime factorization of 3025 in exponential form is:

3025 = 5² × 11²

Step-2: Prime Factorization of 3038

Prime factors of 3038 are 2, 7, 31. Prime factorization of 3038 in exponential form is:

3038 = 2¹ × 7² × 31¹

Step-3: Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605

Step-4: Factors of 3038

List of positive integer factors of 3038 that divides 3025 without a remainder.

1, 2, 7, 14, 31, 49, 62, 98, 217, 434, 1519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3025 and 3038. The biggest common factor number is the GCF number.
So the greatest common factor 3025 and 3038 is 1.

Also check out the Least Common Multiple of 3025 and 3038