What is the Greatest Common Factor of 48925 and 48938?

Greatest common factor (GCF) of 48925 and 48938 is 1.

GCF(48925,48938) = 1

We will now calculate the prime factors of 48925 and 48938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48925 and 48938.

How to find the GCF of 48925 and 48938?

We will first find the prime factorization of 48925 and 48938. After we will calculate the factors of 48925 and 48938 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 48938

Prime factors of 48938 are 2, 24469. Prime factorization of 48938 in exponential form is:

48938 = 2¹ × 24469¹

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 48938

List of positive integer factors of 48938 that divides 48925 without a remainder.

1, 2, 24469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48925 and 48938. The biggest common factor number is the GCF number.
So the greatest common factor 48925 and 48938 is 1.

Also check out the Least Common Multiple of 48925 and 48938