What is the Greatest Common Factor of 80994 and 81012?

Greatest common factor (GCF) of 80994 and 81012 is 6.

GCF(80994,81012) = 6

We will now calculate the prime factors of 80994 and 81012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80994 and 81012.

How to find the GCF of 80994 and 81012?

We will first find the prime factorization of 80994 and 81012. After we will calculate the factors of 80994 and 81012 and find the biggest common factor number .

Step-1: Prime Factorization of 80994

Prime factors of 80994 are 2, 3, 13499. Prime factorization of 80994 in exponential form is:

80994 = 2¹ × 3¹ × 13499¹

Step-2: Prime Factorization of 81012

Prime factors of 81012 are 2, 3, 43, 157. Prime factorization of 81012 in exponential form is:

81012 = 2² × 3¹ × 43¹ × 157¹

Step-3: Factors of 80994

List of positive integer factors of 80994 that divides 80994 without a remainder.

1, 2, 3, 6, 13499, 26998, 40497

Step-4: Factors of 81012

List of positive integer factors of 81012 that divides 80994 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 157, 172, 258, 314, 471, 516, 628, 942, 1884, 6751, 13502, 20253, 27004, 40506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80994 and 81012. The biggest common factor number is the GCF number.
So the greatest common factor 80994 and 81012 is 6.

Also check out the Least Common Multiple of 80994 and 81012