What is the Greatest Common Factor of 25669 and 25687?

Greatest common factor (GCF) of 25669 and 25687 is 1.

GCF(25669,25687) = 1

We will now calculate the prime factors of 25669 and 25687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25669 and 25687.

How to find the GCF of 25669 and 25687?

We will first find the prime factorization of 25669 and 25687. After we will calculate the factors of 25669 and 25687 and find the biggest common factor number .

Step-1: Prime Factorization of 25669

Prime factors of 25669 are 7, 19, 193. Prime factorization of 25669 in exponential form is:

25669 = 7¹ × 19¹ × 193¹

Step-2: Prime Factorization of 25687

Prime factors of 25687 are 17, 1511. Prime factorization of 25687 in exponential form is:

25687 = 17¹ × 1511¹

Step-3: Factors of 25669

List of positive integer factors of 25669 that divides 25669 without a remainder.

1, 7, 19, 133, 193, 1351, 3667

Step-4: Factors of 25687

List of positive integer factors of 25687 that divides 25669 without a remainder.

1, 17, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25669 and 25687. The biggest common factor number is the GCF number.
So the greatest common factor 25669 and 25687 is 1.

Also check out the Least Common Multiple of 25669 and 25687