What is the Greatest Common Factor of 4005 and 4025?

Greatest common factor (GCF) of 4005 and 4025 is 5.

GCF(4005,4025) = 5

We will now calculate the prime factors of 4005 and 4025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4005 and 4025.

How to find the GCF of 4005 and 4025?

We will first find the prime factorization of 4005 and 4025. After we will calculate the factors of 4005 and 4025 and find the biggest common factor number .

Step-1: Prime Factorization of 4005

Prime factors of 4005 are 3, 5, 89. Prime factorization of 4005 in exponential form is:

4005 = 3² × 5¹ × 89¹

Step-2: 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-3: Factors of 4005

List of positive integer factors of 4005 that divides 4005 without a remainder.

1, 3, 5, 9, 15, 45, 89, 267, 445, 801, 1335

Step-4: Factors of 4025

List of positive integer factors of 4025 that divides 4005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4005 and 4025. The biggest common factor number is the GCF number.
So the greatest common factor 4005 and 4025 is 5.

Also check out the Least Common Multiple of 4005 and 4025