What is the Greatest Common Factor of 80934 and 80942?

Greatest common factor (GCF) of 80934 and 80942 is 2.

GCF(80934,80942) = 2

We will now calculate the prime factors of 80934 and 80942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80934 and 80942.

How to find the GCF of 80934 and 80942?

We will first find the prime factorization of 80934 and 80942. After we will calculate the factors of 80934 and 80942 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 80942

Prime factors of 80942 are 2, 40471. Prime factorization of 80942 in exponential form is:

80942 = 2¹ × 40471¹

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 80942

List of positive integer factors of 80942 that divides 80934 without a remainder.

1, 2, 40471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80934 and 80942. The biggest common factor number is the GCF number.
So the greatest common factor 80934 and 80942 is 2.

Also check out the Least Common Multiple of 80934 and 80942