What is the Greatest Common Factor of 80934 and 80952?

Greatest common factor (GCF) of 80934 and 80952 is 6.

GCF(80934,80952) = 6

We will now calculate the prime factors of 80934 and 80952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80934 and 80952.

How to find the GCF of 80934 and 80952?

We will first find the prime factorization of 80934 and 80952. After we will calculate the factors of 80934 and 80952 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 80952

Prime factors of 80952 are 2, 3, 3373. Prime factorization of 80952 in exponential form is:

80952 = 2³ × 3¹ × 3373¹

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 80952

List of positive integer factors of 80952 that divides 80934 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3373, 6746, 10119, 13492, 20238, 26984, 40476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80934 and 80952. The biggest common factor number is the GCF number.
So the greatest common factor 80934 and 80952 is 6.

Also check out the Least Common Multiple of 80934 and 80952