What is the Greatest Common Factor of 80934 and 80949?

Greatest common factor (GCF) of 80934 and 80949 is 3.

GCF(80934,80949) = 3

We will now calculate the prime factors of 80934 and 80949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80934 and 80949.

How to find the GCF of 80934 and 80949?

We will first find the prime factorization of 80934 and 80949. After we will calculate the factors of 80934 and 80949 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 80949

Prime factors of 80949 are 3, 11, 223. Prime factorization of 80949 in exponential form is:

80949 = 3¹ × 11² × 223¹

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 80949

List of positive integer factors of 80949 that divides 80934 without a remainder.

1, 3, 11, 33, 121, 223, 363, 669, 2453, 7359, 26983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80934 and 80949. The biggest common factor number is the GCF number.
So the greatest common factor 80934 and 80949 is 3.

Also check out the Least Common Multiple of 80934 and 80949