What is the Greatest Common Factor of 48656 and 48667?

Greatest common factor (GCF) of 48656 and 48667 is 1.

GCF(48656,48667) = 1

We will now calculate the prime factors of 48656 and 48667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48656 and 48667.

How to find the GCF of 48656 and 48667?

We will first find the prime factorization of 48656 and 48667. After we will calculate the factors of 48656 and 48667 and find the biggest common factor number .

Step-1: Prime Factorization of 48656

Prime factors of 48656 are 2, 3041. Prime factorization of 48656 in exponential form is:

48656 = 2⁴ × 3041¹

Step-2: Prime Factorization of 48667

Prime factors of 48667 are 41, 1187. Prime factorization of 48667 in exponential form is:

48667 = 41¹ × 1187¹

Step-3: Factors of 48656

List of positive integer factors of 48656 that divides 48656 without a remainder.

1, 2, 4, 8, 16, 3041, 6082, 12164, 24328

Step-4: Factors of 48667

List of positive integer factors of 48667 that divides 48656 without a remainder.

1, 41, 1187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48656 and 48667. The biggest common factor number is the GCF number.
So the greatest common factor 48656 and 48667 is 1.

Also check out the Least Common Multiple of 48656 and 48667