What is the Greatest Common Factor of 80934 and 80946?

Greatest common factor (GCF) of 80934 and 80946 is 6.

GCF(80934,80946) = 6

We will now calculate the prime factors of 80934 and 80946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80934 and 80946.

How to find the GCF of 80934 and 80946?

We will first find the prime factorization of 80934 and 80946. After we will calculate the factors of 80934 and 80946 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 80946

Prime factors of 80946 are 2, 3, 1499. Prime factorization of 80946 in exponential form is:

80946 = 2¹ × 3³ × 1499¹

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 80946

List of positive integer factors of 80946 that divides 80934 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1499, 2998, 4497, 8994, 13491, 26982, 40473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80934 and 80946. The biggest common factor number is the GCF number.
So the greatest common factor 80934 and 80946 is 6.

Also check out the Least Common Multiple of 80934 and 80946