What is the Greatest Common Factor of 3025 and 3037?

Greatest common factor (GCF) of 3025 and 3037 is 1.

GCF(3025,3037) = 1

We will now calculate the prime factors of 3025 and 3037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3025 and 3037.

How to find the GCF of 3025 and 3037?

We will first find the prime factorization of 3025 and 3037. After we will calculate the factors of 3025 and 3037 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 3037

Prime factors of 3037 are 3037. Prime factorization of 3037 in exponential form is:

3037 = 3037¹

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 3037

List of positive integer factors of 3037 that divides 3025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3025 and 3037. The biggest common factor number is the GCF number.
So the greatest common factor 3025 and 3037 is 1.

Also check out the Least Common Multiple of 3025 and 3037