What is the Greatest Common Factor of 48945 and 48957?

Greatest common factor (GCF) of 48945 and 48957 is 3.

GCF(48945,48957) = 3

We will now calculate the prime factors of 48945 and 48957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48945 and 48957.

How to find the GCF of 48945 and 48957?

We will first find the prime factorization of 48945 and 48957. After we will calculate the factors of 48945 and 48957 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48957

Prime factors of 48957 are 3, 16319. Prime factorization of 48957 in exponential form is:

48957 = 3¹ × 16319¹

Step-3: Factors of 48945

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

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

Step-4: Factors of 48957

List of positive integer factors of 48957 that divides 48945 without a remainder.

1, 3, 16319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48945 and 48957. The biggest common factor number is the GCF number.
So the greatest common factor 48945 and 48957 is 3.

Also check out the Least Common Multiple of 48945 and 48957