What is the Greatest Common Factor of 48925 and 48940?

Greatest common factor (GCF) of 48925 and 48940 is 5.

GCF(48925,48940) = 5

We will now calculate the prime factors of 48925 and 48940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48925 and 48940.

How to find the GCF of 48925 and 48940?

We will first find the prime factorization of 48925 and 48940. After we will calculate the factors of 48925 and 48940 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 48940

Prime factors of 48940 are 2, 5, 2447. Prime factorization of 48940 in exponential form is:

48940 = 2² × 5¹ × 2447¹

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 48940

List of positive integer factors of 48940 that divides 48925 without a remainder.

1, 2, 4, 5, 10, 20, 2447, 4894, 9788, 12235, 24470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48925 and 48940. The biggest common factor number is the GCF number.
So the greatest common factor 48925 and 48940 is 5.

Also check out the Least Common Multiple of 48925 and 48940