What is the Greatest Common Factor of 74082 and 74086?

Greatest common factor (GCF) of 74082 and 74086 is 2.

GCF(74082,74086) = 2

We will now calculate the prime factors of 74082 and 74086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74082 and 74086.

How to find the GCF of 74082 and 74086?

We will first find the prime factorization of 74082 and 74086. After we will calculate the factors of 74082 and 74086 and find the biggest common factor number .

Step-1: Prime Factorization of 74082

Prime factors of 74082 are 2, 3, 12347. Prime factorization of 74082 in exponential form is:

74082 = 2¹ × 3¹ × 12347¹

Step-2: Prime Factorization of 74086

Prime factors of 74086 are 2, 17, 2179. Prime factorization of 74086 in exponential form is:

74086 = 2¹ × 17¹ × 2179¹

Step-3: Factors of 74082

List of positive integer factors of 74082 that divides 74082 without a remainder.

1, 2, 3, 6, 12347, 24694, 37041

Step-4: Factors of 74086

List of positive integer factors of 74086 that divides 74082 without a remainder.

1, 2, 17, 34, 2179, 4358, 37043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74082 and 74086. The biggest common factor number is the GCF number.
So the greatest common factor 74082 and 74086 is 2.

Also check out the Least Common Multiple of 74082 and 74086