What is the Greatest Common Factor of 43082 and 43088?

Greatest common factor (GCF) of 43082 and 43088 is 2.

GCF(43082,43088) = 2

We will now calculate the prime factors of 43082 and 43088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43082 and 43088.

How to find the GCF of 43082 and 43088?

We will first find the prime factorization of 43082 and 43088. After we will calculate the factors of 43082 and 43088 and find the biggest common factor number .

Step-1: Prime Factorization of 43082

Prime factors of 43082 are 2, 13, 1657. Prime factorization of 43082 in exponential form is:

43082 = 2¹ × 13¹ × 1657¹

Step-2: Prime Factorization of 43088

Prime factors of 43088 are 2, 2693. Prime factorization of 43088 in exponential form is:

43088 = 2⁴ × 2693¹

Step-3: Factors of 43082

List of positive integer factors of 43082 that divides 43082 without a remainder.

1, 2, 13, 26, 1657, 3314, 21541

Step-4: Factors of 43088

List of positive integer factors of 43088 that divides 43082 without a remainder.

1, 2, 4, 8, 16, 2693, 5386, 10772, 21544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43082 and 43088. The biggest common factor number is the GCF number.
So the greatest common factor 43082 and 43088 is 2.

Also check out the Least Common Multiple of 43082 and 43088