What is the Greatest Common Factor of 1025 and 1040?

Greatest common factor (GCF) of 1025 and 1040 is 5.

GCF(1025,1040) = 5

We will now calculate the prime factors of 1025 and 1040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1025 and 1040.

How to find the GCF of 1025 and 1040?

We will first find the prime factorization of 1025 and 1040. After we will calculate the factors of 1025 and 1040 and find the biggest common factor number .

Step-1: Prime Factorization of 1025

Prime factors of 1025 are 5, 41. Prime factorization of 1025 in exponential form is:

1025 = 5² × 41¹

Step-2: Prime Factorization of 1040

Prime factors of 1040 are 2, 5, 13. Prime factorization of 1040 in exponential form is:

1040 = 2⁴ × 5¹ × 13¹

Step-3: Factors of 1025

List of positive integer factors of 1025 that divides 1025 without a remainder.

1, 5, 25, 41, 205

Step-4: Factors of 1040

List of positive integer factors of 1040 that divides 1025 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1025 and 1040. The biggest common factor number is the GCF number.
So the greatest common factor 1025 and 1040 is 5.

Also check out the Least Common Multiple of 1025 and 1040