What is the Greatest Common Factor of 65067 and 65082?

Greatest common factor (GCF) of 65067 and 65082 is 3.

GCF(65067,65082) = 3

We will now calculate the prime factors of 65067 and 65082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65067 and 65082.

How to find the GCF of 65067 and 65082?

We will first find the prime factorization of 65067 and 65082. After we will calculate the factors of 65067 and 65082 and find the biggest common factor number .

Step-1: Prime Factorization of 65067

Prime factors of 65067 are 3, 23, 41. Prime factorization of 65067 in exponential form is:

65067 = 3¹ × 23² × 41¹

Step-2: Prime Factorization of 65082

Prime factors of 65082 are 2, 3, 10847. Prime factorization of 65082 in exponential form is:

65082 = 2¹ × 3¹ × 10847¹

Step-3: Factors of 65067

List of positive integer factors of 65067 that divides 65067 without a remainder.

1, 3, 23, 41, 69, 123, 529, 943, 1587, 2829, 21689

Step-4: Factors of 65082

List of positive integer factors of 65082 that divides 65067 without a remainder.

1, 2, 3, 6, 10847, 21694, 32541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65067 and 65082. The biggest common factor number is the GCF number.
So the greatest common factor 65067 and 65082 is 3.

Also check out the Least Common Multiple of 65067 and 65082