What is the Greatest Common Factor of 25965 and 25980?

Greatest common factor (GCF) of 25965 and 25980 is 15.

GCF(25965,25980) = 15

We will now calculate the prime factors of 25965 and 25980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25965 and 25980.

How to find the GCF of 25965 and 25980?

We will first find the prime factorization of 25965 and 25980. After we will calculate the factors of 25965 and 25980 and find the biggest common factor number .

Step-1: Prime Factorization of 25965

Prime factors of 25965 are 3, 5, 577. Prime factorization of 25965 in exponential form is:

25965 = 3² × 5¹ × 577¹

Step-2: Prime Factorization of 25980

Prime factors of 25980 are 2, 3, 5, 433. Prime factorization of 25980 in exponential form is:

25980 = 2² × 3¹ × 5¹ × 433¹

Step-3: Factors of 25965

List of positive integer factors of 25965 that divides 25965 without a remainder.

1, 3, 5, 9, 15, 45, 577, 1731, 2885, 5193, 8655

Step-4: Factors of 25980

List of positive integer factors of 25980 that divides 25965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 433, 866, 1299, 1732, 2165, 2598, 4330, 5196, 6495, 8660, 12990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25965 and 25980. The biggest common factor number is the GCF number.
So the greatest common factor 25965 and 25980 is 15.

Also check out the Least Common Multiple of 25965 and 25980