What is the Greatest Common Factor of 25965 and 25970?

Greatest common factor (GCF) of 25965 and 25970 is 5.

GCF(25965,25970) = 5

We will now calculate the prime factors of 25965 and 25970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25965 and 25970.

How to find the GCF of 25965 and 25970?

We will first find the prime factorization of 25965 and 25970. After we will calculate the factors of 25965 and 25970 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 25970

Prime factors of 25970 are 2, 5, 7, 53. Prime factorization of 25970 in exponential form is:

25970 = 2¹ × 5¹ × 7² × 53¹

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 25970

List of positive integer factors of 25970 that divides 25965 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 53, 70, 98, 106, 245, 265, 371, 490, 530, 742, 1855, 2597, 3710, 5194, 12985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25965 and 25970. The biggest common factor number is the GCF number.
So the greatest common factor 25965 and 25970 is 5.

Also check out the Least Common Multiple of 25965 and 25970