What is the Greatest Common Factor of 4025 and 4030?

Greatest common factor (GCF) of 4025 and 4030 is 5.

GCF(4025,4030) = 5

We will now calculate the prime factors of 4025 and 4030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4025 and 4030.

How to find the GCF of 4025 and 4030?

We will first find the prime factorization of 4025 and 4030. After we will calculate the factors of 4025 and 4030 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 4030

Prime factors of 4030 are 2, 5, 13, 31. Prime factorization of 4030 in exponential form is:

4030 = 2¹ × 5¹ × 13¹ × 31¹

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 4030

List of positive integer factors of 4030 that divides 4025 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4025 and 4030. The biggest common factor number is the GCF number.
So the greatest common factor 4025 and 4030 is 5.

Also check out the Least Common Multiple of 4025 and 4030