What is the Greatest Common Factor of 23068 and 23082?

Greatest common factor (GCF) of 23068 and 23082 is 2.

GCF(23068,23082) = 2

We will now calculate the prime factors of 23068 and 23082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23068 and 23082.

How to find the GCF of 23068 and 23082?

We will first find the prime factorization of 23068 and 23082. After we will calculate the factors of 23068 and 23082 and find the biggest common factor number .

Step-1: Prime Factorization of 23068

Prime factors of 23068 are 2, 73, 79. Prime factorization of 23068 in exponential form is:

23068 = 2² × 73¹ × 79¹

Step-2: Prime Factorization of 23082

Prime factors of 23082 are 2, 3, 3847. Prime factorization of 23082 in exponential form is:

23082 = 2¹ × 3¹ × 3847¹

Step-3: Factors of 23068

List of positive integer factors of 23068 that divides 23068 without a remainder.

1, 2, 4, 73, 79, 146, 158, 292, 316, 5767, 11534

Step-4: Factors of 23082

List of positive integer factors of 23082 that divides 23068 without a remainder.

1, 2, 3, 6, 3847, 7694, 11541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23068 and 23082. The biggest common factor number is the GCF number.
So the greatest common factor 23068 and 23082 is 2.

Also check out the Least Common Multiple of 23068 and 23082