What is the Greatest Common Factor of 72435 and 72440?

Greatest common factor (GCF) of 72435 and 72440 is 5.

GCF(72435,72440) = 5

We will now calculate the prime factors of 72435 and 72440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72435 and 72440.

How to find the GCF of 72435 and 72440?

We will first find the prime factorization of 72435 and 72440. After we will calculate the factors of 72435 and 72440 and find the biggest common factor number .

Step-1: Prime Factorization of 72435

Prime factors of 72435 are 3, 5, 11, 439. Prime factorization of 72435 in exponential form is:

72435 = 3¹ × 5¹ × 11¹ × 439¹

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 72435

List of positive integer factors of 72435 that divides 72435 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 439, 1317, 2195, 4829, 6585, 14487, 24145

Step-4: Factors of 72440

List of positive integer factors of 72440 that divides 72435 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 72435 and 72440. The biggest common factor number is the GCF number.
So the greatest common factor 72435 and 72440 is 5.

Also check out the Least Common Multiple of 72435 and 72440