What is the Greatest Common Factor of 48928 and 48945?

Greatest common factor (GCF) of 48928 and 48945 is 1.

GCF(48928,48945) = 1

We will now calculate the prime factors of 48928 and 48945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48928 and 48945.

How to find the GCF of 48928 and 48945?

We will first find the prime factorization of 48928 and 48945. After we will calculate the factors of 48928 and 48945 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 48945

Prime factors of 48945 are 3, 5, 13, 251. Prime factorization of 48945 in exponential form is:

48945 = 3¹ × 5¹ × 13¹ × 251¹

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 48945

List of positive integer factors of 48945 that divides 48928 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 251, 753, 1255, 3263, 3765, 9789, 16315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48928 and 48945. The biggest common factor number is the GCF number.
So the greatest common factor 48928 and 48945 is 1.

Also check out the Least Common Multiple of 48928 and 48945