What is the Greatest Common Factor of 25930 and 25940?

Greatest common factor (GCF) of 25930 and 25940 is 10.

GCF(25930,25940) = 10

We will now calculate the prime factors of 25930 and 25940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25930 and 25940.

How to find the GCF of 25930 and 25940?

We will first find the prime factorization of 25930 and 25940. After we will calculate the factors of 25930 and 25940 and find the biggest common factor number .

Step-1: Prime Factorization of 25930

Prime factors of 25930 are 2, 5, 2593. Prime factorization of 25930 in exponential form is:

25930 = 2¹ × 5¹ × 2593¹

Step-2: Prime Factorization of 25940

Prime factors of 25940 are 2, 5, 1297. Prime factorization of 25940 in exponential form is:

25940 = 2² × 5¹ × 1297¹

Step-3: Factors of 25930

List of positive integer factors of 25930 that divides 25930 without a remainder.

1, 2, 5, 10, 2593, 5186, 12965

Step-4: Factors of 25940

List of positive integer factors of 25940 that divides 25930 without a remainder.

1, 2, 4, 5, 10, 20, 1297, 2594, 5188, 6485, 12970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25930 and 25940. The biggest common factor number is the GCF number.
So the greatest common factor 25930 and 25940 is 10.

Also check out the Least Common Multiple of 25930 and 25940