What is the Greatest Common Factor of 81066 and 81072?

Greatest common factor (GCF) of 81066 and 81072 is 6.

GCF(81066,81072) = 6

We will now calculate the prime factors of 81066 and 81072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81066 and 81072.

How to find the GCF of 81066 and 81072?

We will first find the prime factorization of 81066 and 81072. After we will calculate the factors of 81066 and 81072 and find the biggest common factor number .

Step-1: Prime Factorization of 81066

Prime factors of 81066 are 2, 3, 59, 229. Prime factorization of 81066 in exponential form is:

81066 = 2¹ × 3¹ × 59¹ × 229¹

Step-2: Prime Factorization of 81072

Prime factors of 81072 are 2, 3, 563. Prime factorization of 81072 in exponential form is:

81072 = 2⁴ × 3² × 563¹

Step-3: Factors of 81066

List of positive integer factors of 81066 that divides 81066 without a remainder.

1, 2, 3, 6, 59, 118, 177, 229, 354, 458, 687, 1374, 13511, 27022, 40533

Step-4: Factors of 81072

List of positive integer factors of 81072 that divides 81066 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 563, 1126, 1689, 2252, 3378, 4504, 5067, 6756, 9008, 10134, 13512, 20268, 27024, 40536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81066 and 81072. The biggest common factor number is the GCF number.
So the greatest common factor 81066 and 81072 is 6.

Also check out the Least Common Multiple of 81066 and 81072