What is the Greatest Common Factor of 25578 and 25591?

Greatest common factor (GCF) of 25578 and 25591 is 1.

GCF(25578,25591) = 1

We will now calculate the prime factors of 25578 and 25591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25578 and 25591.

How to find the GCF of 25578 and 25591?

We will first find the prime factorization of 25578 and 25591. After we will calculate the factors of 25578 and 25591 and find the biggest common factor number .

Step-1: Prime Factorization of 25578

Prime factors of 25578 are 2, 3, 7, 29. Prime factorization of 25578 in exponential form is:

25578 = 2¹ × 3² × 7² × 29¹

Step-2: Prime Factorization of 25591

Prime factors of 25591 are 157, 163. Prime factorization of 25591 in exponential form is:

25591 = 157¹ × 163¹

Step-3: Factors of 25578

List of positive integer factors of 25578 that divides 25578 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 49, 58, 63, 87, 98, 126, 147, 174, 203, 261, 294, 406, 441, 522, 609, 882, 1218, 1421, 1827, 2842, 3654, 4263, 8526, 12789

Step-4: Factors of 25591

List of positive integer factors of 25591 that divides 25578 without a remainder.

1, 157, 163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25578 and 25591. The biggest common factor number is the GCF number.
So the greatest common factor 25578 and 25591 is 1.

Also check out the Least Common Multiple of 25578 and 25591