What is the Greatest Common Factor of 74333 and 74340?

Greatest common factor (GCF) of 74333 and 74340 is 7.

GCF(74333,74340) = 7

We will now calculate the prime factors of 74333 and 74340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74333 and 74340.

How to find the GCF of 74333 and 74340?

We will first find the prime factorization of 74333 and 74340. After we will calculate the factors of 74333 and 74340 and find the biggest common factor number .

Step-1: Prime Factorization of 74333

Prime factors of 74333 are 7, 37, 41. Prime factorization of 74333 in exponential form is:

74333 = 7² × 37¹ × 41¹

Step-2: Prime Factorization of 74340

Prime factors of 74340 are 2, 3, 5, 7, 59. Prime factorization of 74340 in exponential form is:

74340 = 2² × 3² × 5¹ × 7¹ × 59¹

Step-3: Factors of 74333

List of positive integer factors of 74333 that divides 74333 without a remainder.

1, 7, 37, 41, 49, 259, 287, 1517, 1813, 2009, 10619

Step-4: Factors of 74340

List of positive integer factors of 74340 that divides 74333 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 59, 60, 63, 70, 84, 90, 105, 118, 126, 140, 177, 180, 210, 236, 252, 295, 315, 354, 413, 420, 531, 590, 630, 708, 826, 885, 1062, 1180, 1239, 1260, 1652, 1770, 2065, 2124, 2478, 2655, 3540, 3717, 4130, 4956, 5310, 6195, 7434, 8260, 10620, 12390, 14868, 18585, 24780, 37170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74333 and 74340. The biggest common factor number is the GCF number.
So the greatest common factor 74333 and 74340 is 7.

Also check out the Least Common Multiple of 74333 and 74340