What is the Greatest Common Factor of 48925 and 48944?

Greatest common factor (GCF) of 48925 and 48944 is 19.

GCF(48925,48944) = 19

We will now calculate the prime factors of 48925 and 48944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48925 and 48944.

How to find the GCF of 48925 and 48944?

We will first find the prime factorization of 48925 and 48944. After we will calculate the factors of 48925 and 48944 and find the biggest common factor number .

Step-1: Prime Factorization of 48925

Prime factors of 48925 are 5, 19, 103. Prime factorization of 48925 in exponential form is:

48925 = 5² × 19¹ × 103¹

Step-2: 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-3: Factors of 48925

List of positive integer factors of 48925 that divides 48925 without a remainder.

1, 5, 19, 25, 95, 103, 475, 515, 1957, 2575, 9785

Step-4: Factors of 48944

List of positive integer factors of 48944 that divides 48925 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48925 and 48944. The biggest common factor number is the GCF number.
So the greatest common factor 48925 and 48944 is 19.

Also check out the Least Common Multiple of 48925 and 48944