What is the Greatest Common Factor of 72966 and 72981?

Greatest common factor (GCF) of 72966 and 72981 is 3.

GCF(72966,72981) = 3

We will now calculate the prime factors of 72966 and 72981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72966 and 72981.

How to find the GCF of 72966 and 72981?

We will first find the prime factorization of 72966 and 72981. After we will calculate the factors of 72966 and 72981 and find the biggest common factor number .

Step-1: Prime Factorization of 72966

Prime factors of 72966 are 2, 3, 12161. Prime factorization of 72966 in exponential form is:

72966 = 2¹ × 3¹ × 12161¹

Step-2: Prime Factorization of 72981

Prime factors of 72981 are 3, 17, 53. Prime factorization of 72981 in exponential form is:

72981 = 3⁴ × 17¹ × 53¹

Step-3: Factors of 72966

List of positive integer factors of 72966 that divides 72966 without a remainder.

1, 2, 3, 6, 12161, 24322, 36483

Step-4: Factors of 72981

List of positive integer factors of 72981 that divides 72966 without a remainder.

1, 3, 9, 17, 27, 51, 53, 81, 153, 159, 459, 477, 901, 1377, 1431, 2703, 4293, 8109, 24327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72966 and 72981. The biggest common factor number is the GCF number.
So the greatest common factor 72966 and 72981 is 3.

Also check out the Least Common Multiple of 72966 and 72981