What is the Greatest Common Factor of 24272 and 24280?

Greatest common factor (GCF) of 24272 and 24280 is 8.

GCF(24272,24280) = 8

We will now calculate the prime factors of 24272 and 24280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24272 and 24280.

How to find the GCF of 24272 and 24280?

We will first find the prime factorization of 24272 and 24280. After we will calculate the factors of 24272 and 24280 and find the biggest common factor number .

Step-1: Prime Factorization of 24272

Prime factors of 24272 are 2, 37, 41. Prime factorization of 24272 in exponential form is:

24272 = 2⁴ × 37¹ × 41¹

Step-2: Prime Factorization of 24280

Prime factors of 24280 are 2, 5, 607. Prime factorization of 24280 in exponential form is:

24280 = 2³ × 5¹ × 607¹

Step-3: Factors of 24272

List of positive integer factors of 24272 that divides 24272 without a remainder.

1, 2, 4, 8, 16, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1517, 3034, 6068, 12136

Step-4: Factors of 24280

List of positive integer factors of 24280 that divides 24272 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 607, 1214, 2428, 3035, 4856, 6070, 12140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24272 and 24280. The biggest common factor number is the GCF number.
So the greatest common factor 24272 and 24280 is 8.

Also check out the Least Common Multiple of 24272 and 24280