What is the Greatest Common Factor of 25578 and 25596?

Greatest common factor (GCF) of 25578 and 25596 is 18.

GCF(25578,25596) = 18

We will now calculate the prime factors of 25578 and 25596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25578 and 25596.

How to find the GCF of 25578 and 25596?

We will first find the prime factorization of 25578 and 25596. After we will calculate the factors of 25578 and 25596 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 25596

Prime factors of 25596 are 2, 3, 79. Prime factorization of 25596 in exponential form is:

25596 = 2² × 3⁴ × 79¹

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 25596

List of positive integer factors of 25596 that divides 25578 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 81, 108, 158, 162, 237, 316, 324, 474, 711, 948, 1422, 2133, 2844, 4266, 6399, 8532, 12798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25578 and 25596. The biggest common factor number is the GCF number.
So the greatest common factor 25578 and 25596 is 18.

Also check out the Least Common Multiple of 25578 and 25596