What is the Greatest Common Factor of 72025 and 72040?

Greatest common factor (GCF) of 72025 and 72040 is 5.

GCF(72025,72040) = 5

We will now calculate the prime factors of 72025 and 72040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72025 and 72040.

How to find the GCF of 72025 and 72040?

We will first find the prime factorization of 72025 and 72040. After we will calculate the factors of 72025 and 72040 and find the biggest common factor number .

Step-1: Prime Factorization of 72025

Prime factors of 72025 are 5, 43, 67. Prime factorization of 72025 in exponential form is:

72025 = 5² × 43¹ × 67¹

Step-2: Prime Factorization of 72040

Prime factors of 72040 are 2, 5, 1801. Prime factorization of 72040 in exponential form is:

72040 = 2³ × 5¹ × 1801¹

Step-3: Factors of 72025

List of positive integer factors of 72025 that divides 72025 without a remainder.

1, 5, 25, 43, 67, 215, 335, 1075, 1675, 2881, 14405

Step-4: Factors of 72040

List of positive integer factors of 72040 that divides 72025 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1801, 3602, 7204, 9005, 14408, 18010, 36020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72025 and 72040. The biggest common factor number is the GCF number.
So the greatest common factor 72025 and 72040 is 5.

Also check out the Least Common Multiple of 72025 and 72040