What is the Greatest Common Factor of 25641 and 25651?

Greatest common factor (GCF) of 25641 and 25651 is 1.

GCF(25641,25651) = 1

We will now calculate the prime factors of 25641 and 25651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25641 and 25651.

How to find the GCF of 25641 and 25651?

We will first find the prime factorization of 25641 and 25651. After we will calculate the factors of 25641 and 25651 and find the biggest common factor number .

Step-1: Prime Factorization of 25641

Prime factors of 25641 are 3, 7, 11, 37. Prime factorization of 25641 in exponential form is:

25641 = 3² × 7¹ × 11¹ × 37¹

Step-2: Prime Factorization of 25651

Prime factors of 25651 are 113, 227. Prime factorization of 25651 in exponential form is:

25651 = 113¹ × 227¹

Step-3: Factors of 25641

List of positive integer factors of 25641 that divides 25641 without a remainder.

1, 3, 7, 9, 11, 21, 33, 37, 63, 77, 99, 111, 231, 259, 333, 407, 693, 777, 1221, 2331, 2849, 3663, 8547

Step-4: Factors of 25651

List of positive integer factors of 25651 that divides 25641 without a remainder.

1, 113, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25641 and 25651. The biggest common factor number is the GCF number.
So the greatest common factor 25641 and 25651 is 1.

Also check out the Least Common Multiple of 25641 and 25651