What is the Greatest Common Factor of 72930 and 72941?

Greatest common factor (GCF) of 72930 and 72941 is 11.

GCF(72930,72941) = 11

We will now calculate the prime factors of 72930 and 72941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72930 and 72941.

How to find the GCF of 72930 and 72941?

We will first find the prime factorization of 72930 and 72941. After we will calculate the factors of 72930 and 72941 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 72941

Prime factors of 72941 are 11, 19, 349. Prime factorization of 72941 in exponential form is:

72941 = 11¹ × 19¹ × 349¹

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 72941

List of positive integer factors of 72941 that divides 72930 without a remainder.

1, 11, 19, 209, 349, 3839, 6631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72930 and 72941. The biggest common factor number is the GCF number.
So the greatest common factor 72930 and 72941 is 11.

Also check out the Least Common Multiple of 72930 and 72941