What is the Greatest Common Factor of 72930 and 72935?

Greatest common factor (GCF) of 72930 and 72935 is 5.

GCF(72930,72935) = 5

We will now calculate the prime factors of 72930 and 72935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72930 and 72935.

How to find the GCF of 72930 and 72935?

We will first find the prime factorization of 72930 and 72935. After we will calculate the factors of 72930 and 72935 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 72935

Prime factors of 72935 are 5, 29, 503. Prime factorization of 72935 in exponential form is:

72935 = 5¹ × 29¹ × 503¹

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 72935

List of positive integer factors of 72935 that divides 72930 without a remainder.

1, 5, 29, 145, 503, 2515, 14587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72930 and 72935. The biggest common factor number is the GCF number.
So the greatest common factor 72930 and 72935 is 5.

Also check out the Least Common Multiple of 72930 and 72935