What is the Greatest Common Factor of 7025 and 7040?

Greatest common factor (GCF) of 7025 and 7040 is 5.

GCF(7025,7040) = 5

We will now calculate the prime factors of 7025 and 7040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7025 and 7040.

How to find the GCF of 7025 and 7040?

We will first find the prime factorization of 7025 and 7040. After we will calculate the factors of 7025 and 7040 and find the biggest common factor number .

Step-1: Prime Factorization of 7025

Prime factors of 7025 are 5, 281. Prime factorization of 7025 in exponential form is:

7025 = 5² × 281¹

Step-2: Prime Factorization of 7040

Prime factors of 7040 are 2, 5, 11. Prime factorization of 7040 in exponential form is:

7040 = 2⁷ × 5¹ × 11¹

Step-3: Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1, 5, 25, 281, 1405

Step-4: Factors of 7040

List of positive integer factors of 7040 that divides 7025 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7025 and 7040. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7040 is 5.

Also check out the Least Common Multiple of 7025 and 7040