What is the Greatest Common Factor of 72930 and 72946?

Greatest common factor (GCF) of 72930 and 72946 is 2.

GCF(72930,72946) = 2

We will now calculate the prime factors of 72930 and 72946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72930 and 72946.

How to find the GCF of 72930 and 72946?

We will first find the prime factorization of 72930 and 72946. After we will calculate the factors of 72930 and 72946 and find the biggest common factor number .

Step-1: Prime Factorization of 72930

Prime factors of 72930 are 2, 3, 5, 11, 13, 17. Prime factorization of 72930 in exponential form is:

72930 = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 72946

Prime factors of 72946 are 2, 36473. Prime factorization of 72946 in exponential form is:

72946 = 2¹ × 36473¹

Step-3: Factors of 72930

List of positive integer factors of 72930 that divides 72930 without a remainder.

1, 2, 3, 5, 6, 10, 11, 13, 15, 17, 22, 26, 30, 33, 34, 39, 51, 55, 65, 66, 78, 85, 102, 110, 130, 143, 165, 170, 187, 195, 221, 255, 286, 330, 374, 390, 429, 442, 510, 561, 663, 715, 858, 935, 1105, 1122, 1326, 1430, 1870, 2145, 2210, 2431, 2805, 3315, 4290, 4862, 5610, 6630, 7293, 12155, 14586, 24310, 36465

Step-4: Factors of 72946

List of positive integer factors of 72946 that divides 72930 without a remainder.

1, 2, 36473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72930 and 72946. The biggest common factor number is the GCF number.
So the greatest common factor 72930 and 72946 is 2.

Also check out the Least Common Multiple of 72930 and 72946