What is the Greatest Common Factor of 72425 and 72440?

Greatest common factor (GCF) of 72425 and 72440 is 5.

GCF(72425,72440) = 5

We will now calculate the prime factors of 72425 and 72440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72425 and 72440.

How to find the GCF of 72425 and 72440?

We will first find the prime factorization of 72425 and 72440. After we will calculate the factors of 72425 and 72440 and find the biggest common factor number .

Step-1: Prime Factorization of 72425

Prime factors of 72425 are 5, 2897. Prime factorization of 72425 in exponential form is:

72425 = 5² × 2897¹

Step-2: Prime Factorization of 72440

Prime factors of 72440 are 2, 5, 1811. Prime factorization of 72440 in exponential form is:

72440 = 2³ × 5¹ × 1811¹

Step-3: Factors of 72425

List of positive integer factors of 72425 that divides 72425 without a remainder.

1, 5, 25, 2897, 14485

Step-4: Factors of 72440

List of positive integer factors of 72440 that divides 72425 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1811, 3622, 7244, 9055, 14488, 18110, 36220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72425 and 72440. The biggest common factor number is the GCF number.
So the greatest common factor 72425 and 72440 is 5.

Also check out the Least Common Multiple of 72425 and 72440