What is the Greatest Common Factor of 48298 and 48302?

Greatest common factor (GCF) of 48298 and 48302 is 2.

GCF(48298,48302) = 2

We will now calculate the prime factors of 48298 and 48302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48298 and 48302.

How to find the GCF of 48298 and 48302?

We will first find the prime factorization of 48298 and 48302. After we will calculate the factors of 48298 and 48302 and find the biggest common factor number .

Step-1: Prime Factorization of 48298

Prime factors of 48298 are 2, 19, 31, 41. Prime factorization of 48298 in exponential form is:

48298 = 2¹ × 19¹ × 31¹ × 41¹

Step-2: Prime Factorization of 48302

Prime factors of 48302 are 2, 24151. Prime factorization of 48302 in exponential form is:

48302 = 2¹ × 24151¹

Step-3: Factors of 48298

List of positive integer factors of 48298 that divides 48298 without a remainder.

1, 2, 19, 31, 38, 41, 62, 82, 589, 779, 1178, 1271, 1558, 2542, 24149

Step-4: Factors of 48302

List of positive integer factors of 48302 that divides 48298 without a remainder.

1, 2, 24151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48298 and 48302. The biggest common factor number is the GCF number.
So the greatest common factor 48298 and 48302 is 2.

Also check out the Least Common Multiple of 48298 and 48302