What is the Greatest Common Factor of 80934 and 80943?

Greatest common factor (GCF) of 80934 and 80943 is 3.

GCF(80934,80943) = 3

We will now calculate the prime factors of 80934 and 80943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80934 and 80943.

How to find the GCF of 80934 and 80943?

We will first find the prime factorization of 80934 and 80943. After we will calculate the factors of 80934 and 80943 and find the biggest common factor number .

Step-1: Prime Factorization of 80934

Prime factors of 80934 are 2, 3, 7, 41, 47. Prime factorization of 80934 in exponential form is:

80934 = 2¹ × 3¹ × 7¹ × 41¹ × 47¹

Step-2: Prime Factorization of 80943

Prime factors of 80943 are 3, 26981. Prime factorization of 80943 in exponential form is:

80943 = 3¹ × 26981¹

Step-3: Factors of 80934

List of positive integer factors of 80934 that divides 80934 without a remainder.

1, 2, 3, 6, 7, 14, 21, 41, 42, 47, 82, 94, 123, 141, 246, 282, 287, 329, 574, 658, 861, 987, 1722, 1927, 1974, 3854, 5781, 11562, 13489, 26978, 40467

Step-4: Factors of 80943

List of positive integer factors of 80943 that divides 80934 without a remainder.

1, 3, 26981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80934 and 80943. The biggest common factor number is the GCF number.
So the greatest common factor 80934 and 80943 is 3.

Also check out the Least Common Multiple of 80934 and 80943