What is the Greatest Common Factor of 72082 and 72096?

Greatest common factor (GCF) of 72082 and 72096 is 2.

GCF(72082,72096) = 2

We will now calculate the prime factors of 72082 and 72096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72082 and 72096.

How to find the GCF of 72082 and 72096?

We will first find the prime factorization of 72082 and 72096. After we will calculate the factors of 72082 and 72096 and find the biggest common factor number .

Step-1: Prime Factorization of 72082

Prime factors of 72082 are 2, 23, 1567. Prime factorization of 72082 in exponential form is:

72082 = 2¹ × 23¹ × 1567¹

Step-2: Prime Factorization of 72096

Prime factors of 72096 are 2, 3, 751. Prime factorization of 72096 in exponential form is:

72096 = 2⁵ × 3¹ × 751¹

Step-3: Factors of 72082

List of positive integer factors of 72082 that divides 72082 without a remainder.

1, 2, 23, 46, 1567, 3134, 36041

Step-4: Factors of 72096

List of positive integer factors of 72096 that divides 72082 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 751, 1502, 2253, 3004, 4506, 6008, 9012, 12016, 18024, 24032, 36048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72082 and 72096. The biggest common factor number is the GCF number.
So the greatest common factor 72082 and 72096 is 2.

Also check out the Least Common Multiple of 72082 and 72096