What is the Greatest Common Factor of 48268 and 48278?

Greatest common factor (GCF) of 48268 and 48278 is 2.

GCF(48268,48278) = 2

We will now calculate the prime factors of 48268 and 48278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48268 and 48278.

How to find the GCF of 48268 and 48278?

We will first find the prime factorization of 48268 and 48278. After we will calculate the factors of 48268 and 48278 and find the biggest common factor number .

Step-1: Prime Factorization of 48268

Prime factors of 48268 are 2, 11, 1097. Prime factorization of 48268 in exponential form is:

48268 = 2² × 11¹ × 1097¹

Step-2: Prime Factorization of 48278

Prime factors of 48278 are 2, 101, 239. Prime factorization of 48278 in exponential form is:

48278 = 2¹ × 101¹ × 239¹

Step-3: Factors of 48268

List of positive integer factors of 48268 that divides 48268 without a remainder.

1, 2, 4, 11, 22, 44, 1097, 2194, 4388, 12067, 24134

Step-4: Factors of 48278

List of positive integer factors of 48278 that divides 48268 without a remainder.

1, 2, 101, 202, 239, 478, 24139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48268 and 48278. The biggest common factor number is the GCF number.
So the greatest common factor 48268 and 48278 is 2.

Also check out the Least Common Multiple of 48268 and 48278