What is the Greatest Common Factor of 65965 and 65970?

Greatest common factor (GCF) of 65965 and 65970 is 5.

GCF(65965,65970) = 5

We will now calculate the prime factors of 65965 and 65970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65965 and 65970.

How to find the GCF of 65965 and 65970?

We will first find the prime factorization of 65965 and 65970. After we will calculate the factors of 65965 and 65970 and find the biggest common factor number .

Step-1: Prime Factorization of 65965

Prime factors of 65965 are 5, 79, 167. Prime factorization of 65965 in exponential form is:

65965 = 5¹ × 79¹ × 167¹

Step-2: Prime Factorization of 65970

Prime factors of 65970 are 2, 3, 5, 733. Prime factorization of 65970 in exponential form is:

65970 = 2¹ × 3² × 5¹ × 733¹

Step-3: Factors of 65965

List of positive integer factors of 65965 that divides 65965 without a remainder.

1, 5, 79, 167, 395, 835, 13193

Step-4: Factors of 65970

List of positive integer factors of 65970 that divides 65965 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 733, 1466, 2199, 3665, 4398, 6597, 7330, 10995, 13194, 21990, 32985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65965 and 65970. The biggest common factor number is the GCF number.
So the greatest common factor 65965 and 65970 is 5.

Also check out the Least Common Multiple of 65965 and 65970