What is the Greatest Common Factor of 25900 and 25909?

Greatest common factor (GCF) of 25900 and 25909 is 1.

GCF(25900,25909) = 1

We will now calculate the prime factors of 25900 and 25909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25900 and 25909.

How to find the GCF of 25900 and 25909?

We will first find the prime factorization of 25900 and 25909. After we will calculate the factors of 25900 and 25909 and find the biggest common factor number .

Step-1: Prime Factorization of 25900

Prime factors of 25900 are 2, 5, 7, 37. Prime factorization of 25900 in exponential form is:

25900 = 2² × 5² × 7¹ × 37¹

Step-2: Prime Factorization of 25909

Prime factors of 25909 are 13, 1993. Prime factorization of 25909 in exponential form is:

25909 = 13¹ × 1993¹

Step-3: Factors of 25900

List of positive integer factors of 25900 that divides 25900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 37, 50, 70, 74, 100, 140, 148, 175, 185, 259, 350, 370, 518, 700, 740, 925, 1036, 1295, 1850, 2590, 3700, 5180, 6475, 12950

Step-4: Factors of 25909

List of positive integer factors of 25909 that divides 25900 without a remainder.

1, 13, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25900 and 25909. The biggest common factor number is the GCF number.
So the greatest common factor 25900 and 25909 is 1.

Also check out the Least Common Multiple of 25900 and 25909