What is the Greatest Common Factor of 72930 and 72942?

Greatest common factor (GCF) of 72930 and 72942 is 6.

GCF(72930,72942) = 6

We will now calculate the prime factors of 72930 and 72942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72930 and 72942.

How to find the GCF of 72930 and 72942?

We will first find the prime factorization of 72930 and 72942. After we will calculate the factors of 72930 and 72942 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 72942

Prime factors of 72942 are 2, 3, 12157. Prime factorization of 72942 in exponential form is:

72942 = 2¹ × 3¹ × 12157¹

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 72942

List of positive integer factors of 72942 that divides 72930 without a remainder.

1, 2, 3, 6, 12157, 24314, 36471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72930 and 72942. The biggest common factor number is the GCF number.
So the greatest common factor 72930 and 72942 is 6.

Also check out the Least Common Multiple of 72930 and 72942