What is the Greatest Common Factor of 48925 and 48931?

Greatest common factor (GCF) of 48925 and 48931 is 1.

GCF(48925,48931) = 1

We will now calculate the prime factors of 48925 and 48931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48925 and 48931.

How to find the GCF of 48925 and 48931?

We will first find the prime factorization of 48925 and 48931. After we will calculate the factors of 48925 and 48931 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 48931

Prime factors of 48931 are 167, 293. Prime factorization of 48931 in exponential form is:

48931 = 167¹ × 293¹

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 48931

List of positive integer factors of 48931 that divides 48925 without a remainder.

1, 167, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48925 and 48931. The biggest common factor number is the GCF number.
So the greatest common factor 48925 and 48931 is 1.

Also check out the Least Common Multiple of 48925 and 48931