What is the Greatest Common Factor of 48944 and 48963?

Greatest common factor (GCF) of 48944 and 48963 is 19.

GCF(48944,48963) = 19

We will now calculate the prime factors of 48944 and 48963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48944 and 48963.

How to find the GCF of 48944 and 48963?

We will first find the prime factorization of 48944 and 48963. After we will calculate the factors of 48944 and 48963 and find the biggest common factor number .

Step-1: Prime Factorization of 48944

Prime factors of 48944 are 2, 7, 19, 23. Prime factorization of 48944 in exponential form is:

48944 = 2⁴ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 48963

Prime factors of 48963 are 3, 19, 859. Prime factorization of 48963 in exponential form is:

48963 = 3¹ × 19¹ × 859¹

Step-3: Factors of 48944

List of positive integer factors of 48944 that divides 48944 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 23, 28, 38, 46, 56, 76, 92, 112, 133, 152, 161, 184, 266, 304, 322, 368, 437, 532, 644, 874, 1064, 1288, 1748, 2128, 2576, 3059, 3496, 6118, 6992, 12236, 24472

Step-4: Factors of 48963

List of positive integer factors of 48963 that divides 48944 without a remainder.

1, 3, 19, 57, 859, 2577, 16321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48944 and 48963. The biggest common factor number is the GCF number.
So the greatest common factor 48944 and 48963 is 19.

Also check out the Least Common Multiple of 48944 and 48963