What is the Greatest Common Factor of 3025 and 3040?

Greatest common factor (GCF) of 3025 and 3040 is 5.

GCF(3025,3040) = 5

We will now calculate the prime factors of 3025 and 3040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3025 and 3040.

How to find the GCF of 3025 and 3040?

We will first find the prime factorization of 3025 and 3040. After we will calculate the factors of 3025 and 3040 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 3040

Prime factors of 3040 are 2, 5, 19. Prime factorization of 3040 in exponential form is:

3040 = 2⁵ × 5¹ × 19¹

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 3040

List of positive integer factors of 3040 that divides 3025 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3025 and 3040. The biggest common factor number is the GCF number.
So the greatest common factor 3025 and 3040 is 5.

Also check out the Least Common Multiple of 3025 and 3040