What is the Greatest Common Factor of 4025 and 4040?

Greatest common factor (GCF) of 4025 and 4040 is 5.

GCF(4025,4040) = 5

We will now calculate the prime factors of 4025 and 4040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4025 and 4040.

How to find the GCF of 4025 and 4040?

We will first find the prime factorization of 4025 and 4040. After we will calculate the factors of 4025 and 4040 and find the biggest common factor number .

Step-1: Prime Factorization of 4025

Prime factors of 4025 are 5, 7, 23. Prime factorization of 4025 in exponential form is:

4025 = 5² × 7¹ × 23¹

Step-2: Prime Factorization of 4040

Prime factors of 4040 are 2, 5, 101. Prime factorization of 4040 in exponential form is:

4040 = 2³ × 5¹ × 101¹

Step-3: Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805

Step-4: Factors of 4040

List of positive integer factors of 4040 that divides 4025 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4025 and 4040. The biggest common factor number is the GCF number.
So the greatest common factor 4025 and 4040 is 5.

Also check out the Least Common Multiple of 4025 and 4040