What is the Greatest Common Factor of 25950 and 25965?

Greatest common factor (GCF) of 25950 and 25965 is 15.

GCF(25950,25965) = 15

We will now calculate the prime factors of 25950 and 25965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25950 and 25965.

How to find the GCF of 25950 and 25965?

We will first find the prime factorization of 25950 and 25965. After we will calculate the factors of 25950 and 25965 and find the biggest common factor number .

Step-1: Prime Factorization of 25950

Prime factors of 25950 are 2, 3, 5, 173. Prime factorization of 25950 in exponential form is:

25950 = 2¹ × 3¹ × 5² × 173¹

Step-2: 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-3: Factors of 25950

List of positive integer factors of 25950 that divides 25950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 173, 346, 519, 865, 1038, 1730, 2595, 4325, 5190, 8650, 12975

Step-4: Factors of 25965

List of positive integer factors of 25965 that divides 25950 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25950 and 25965. The biggest common factor number is the GCF number.
So the greatest common factor 25950 and 25965 is 15.

Also check out the Least Common Multiple of 25950 and 25965