What is the Greatest Common Factor of 74322 and 74340?

Greatest common factor (GCF) of 74322 and 74340 is 18.

GCF(74322,74340) = 18

We will now calculate the prime factors of 74322 and 74340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74322 and 74340.

How to find the GCF of 74322 and 74340?

We will first find the prime factorization of 74322 and 74340. After we will calculate the factors of 74322 and 74340 and find the biggest common factor number .

Step-1: Prime Factorization of 74322

Prime factors of 74322 are 2, 3, 4129. Prime factorization of 74322 in exponential form is:

74322 = 2¹ × 3² × 4129¹

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 74322

List of positive integer factors of 74322 that divides 74322 without a remainder.

1, 2, 3, 6, 9, 18, 4129, 8258, 12387, 24774, 37161

Step-4: Factors of 74340

List of positive integer factors of 74340 that divides 74322 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 74322 and 74340. The biggest common factor number is the GCF number.
So the greatest common factor 74322 and 74340 is 18.

Also check out the Least Common Multiple of 74322 and 74340