What is the Greatest Common Factor of 25051 and 25059?

Greatest common factor (GCF) of 25051 and 25059 is 1.

GCF(25051,25059) = 1

We will now calculate the prime factors of 25051 and 25059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25051 and 25059.

How to find the GCF of 25051 and 25059?

We will first find the prime factorization of 25051 and 25059. After we will calculate the factors of 25051 and 25059 and find the biggest common factor number .

Step-1: Prime Factorization of 25051

Prime factors of 25051 are 13, 41, 47. Prime factorization of 25051 in exponential form is:

25051 = 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 25059

Prime factors of 25059 are 3, 8353. Prime factorization of 25059 in exponential form is:

25059 = 3¹ × 8353¹

Step-3: Factors of 25051

List of positive integer factors of 25051 that divides 25051 without a remainder.

1, 13, 41, 47, 533, 611, 1927

Step-4: Factors of 25059

List of positive integer factors of 25059 that divides 25051 without a remainder.

1, 3, 8353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25051 and 25059. The biggest common factor number is the GCF number.
So the greatest common factor 25051 and 25059 is 1.

Also check out the Least Common Multiple of 25051 and 25059