What is the Greatest Common Factor of 48275 and 48280?

Greatest common factor (GCF) of 48275 and 48280 is 5.

GCF(48275,48280) = 5

We will now calculate the prime factors of 48275 and 48280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48275 and 48280.

How to find the GCF of 48275 and 48280?

We will first find the prime factorization of 48275 and 48280. After we will calculate the factors of 48275 and 48280 and find the biggest common factor number .

Step-1: Prime Factorization of 48275

Prime factors of 48275 are 5, 1931. Prime factorization of 48275 in exponential form is:

48275 = 5² × 1931¹

Step-2: Prime Factorization of 48280

Prime factors of 48280 are 2, 5, 17, 71. Prime factorization of 48280 in exponential form is:

48280 = 2³ × 5¹ × 17¹ × 71¹

Step-3: Factors of 48275

List of positive integer factors of 48275 that divides 48275 without a remainder.

1, 5, 25, 1931, 9655

Step-4: Factors of 48280

List of positive integer factors of 48280 that divides 48275 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 71, 85, 136, 142, 170, 284, 340, 355, 568, 680, 710, 1207, 1420, 2414, 2840, 4828, 6035, 9656, 12070, 24140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48275 and 48280. The biggest common factor number is the GCF number.
So the greatest common factor 48275 and 48280 is 5.

Also check out the Least Common Multiple of 48275 and 48280