What is the Greatest Common Factor of 48280 and 48286?

Greatest common factor (GCF) of 48280 and 48286 is 2.

GCF(48280,48286) = 2

We will now calculate the prime factors of 48280 and 48286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48280 and 48286.

How to find the GCF of 48280 and 48286?

We will first find the prime factorization of 48280 and 48286. After we will calculate the factors of 48280 and 48286 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48286

Prime factors of 48286 are 2, 7, 3449. Prime factorization of 48286 in exponential form is:

48286 = 2¹ × 7¹ × 3449¹

Step-3: Factors of 48280

List of positive integer factors of 48280 that divides 48280 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

Step-4: Factors of 48286

List of positive integer factors of 48286 that divides 48280 without a remainder.

1, 2, 7, 14, 3449, 6898, 24143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48280 and 48286. The biggest common factor number is the GCF number.
So the greatest common factor 48280 and 48286 is 2.

Also check out the Least Common Multiple of 48280 and 48286