What is the Greatest Common Factor of 48928 and 48942?

Greatest common factor (GCF) of 48928 and 48942 is 2.

GCF(48928,48942) = 2

We will now calculate the prime factors of 48928 and 48942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48928 and 48942.

How to find the GCF of 48928 and 48942?

We will first find the prime factorization of 48928 and 48942. After we will calculate the factors of 48928 and 48942 and find the biggest common factor number .

Step-1: Prime Factorization of 48928

Prime factors of 48928 are 2, 11, 139. Prime factorization of 48928 in exponential form is:

48928 = 2⁵ × 11¹ × 139¹

Step-2: Prime Factorization of 48942

Prime factors of 48942 are 2, 3, 2719. Prime factorization of 48942 in exponential form is:

48942 = 2¹ × 3² × 2719¹

Step-3: Factors of 48928

List of positive integer factors of 48928 that divides 48928 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 139, 176, 278, 352, 556, 1112, 1529, 2224, 3058, 4448, 6116, 12232, 24464

Step-4: Factors of 48942

List of positive integer factors of 48942 that divides 48928 without a remainder.

1, 2, 3, 6, 9, 18, 2719, 5438, 8157, 16314, 24471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48928 and 48942. The biggest common factor number is the GCF number.
So the greatest common factor 48928 and 48942 is 2.

Also check out the Least Common Multiple of 48928 and 48942