What is the Greatest Common Factor of 48923 and 48943?

Greatest common factor (GCF) of 48923 and 48943 is 1.

GCF(48923,48943) = 1

We will now calculate the prime factors of 48923 and 48943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48923 and 48943.

How to find the GCF of 48923 and 48943?

We will first find the prime factorization of 48923 and 48943. After we will calculate the factors of 48923 and 48943 and find the biggest common factor number .

Step-1: Prime Factorization of 48923

Prime factors of 48923 are 7, 29, 241. Prime factorization of 48923 in exponential form is:

48923 = 7¹ × 29¹ × 241¹

Step-2: Prime Factorization of 48943

Prime factors of 48943 are 17, 2879. Prime factorization of 48943 in exponential form is:

48943 = 17¹ × 2879¹

Step-3: Factors of 48923

List of positive integer factors of 48923 that divides 48923 without a remainder.

1, 7, 29, 203, 241, 1687, 6989

Step-4: Factors of 48943

List of positive integer factors of 48943 that divides 48923 without a remainder.

1, 17, 2879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48923 and 48943. The biggest common factor number is the GCF number.
So the greatest common factor 48923 and 48943 is 1.

Also check out the Least Common Multiple of 48923 and 48943