What is the Greatest Common Factor of 25250 and 25259?

Greatest common factor (GCF) of 25250 and 25259 is 1.

GCF(25250,25259) = 1

We will now calculate the prime factors of 25250 and 25259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25250 and 25259.

How to find the GCF of 25250 and 25259?

We will first find the prime factorization of 25250 and 25259. After we will calculate the factors of 25250 and 25259 and find the biggest common factor number .

Step-1: Prime Factorization of 25250

Prime factors of 25250 are 2, 5, 101. Prime factorization of 25250 in exponential form is:

25250 = 2¹ × 5³ × 101¹

Step-2: Prime Factorization of 25259

Prime factors of 25259 are 13, 29, 67. Prime factorization of 25259 in exponential form is:

25259 = 13¹ × 29¹ × 67¹

Step-3: Factors of 25250

List of positive integer factors of 25250 that divides 25250 without a remainder.

1, 2, 5, 10, 25, 50, 101, 125, 202, 250, 505, 1010, 2525, 5050, 12625

Step-4: Factors of 25259

List of positive integer factors of 25259 that divides 25250 without a remainder.

1, 13, 29, 67, 377, 871, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25250 and 25259. The biggest common factor number is the GCF number.
So the greatest common factor 25250 and 25259 is 1.

Also check out the Least Common Multiple of 25250 and 25259