What is the Greatest Common Factor of 74340 and 74352?

Greatest common factor (GCF) of 74340 and 74352 is 12.

GCF(74340,74352) = 12

We will now calculate the prime factors of 74340 and 74352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74340 and 74352.

How to find the GCF of 74340 and 74352?

We will first find the prime factorization of 74340 and 74352. After we will calculate the factors of 74340 and 74352 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74352

Prime factors of 74352 are 2, 3, 1549. Prime factorization of 74352 in exponential form is:

74352 = 2⁴ × 3¹ × 1549¹

Step-3: Factors of 74340

List of positive integer factors of 74340 that divides 74340 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

Step-4: Factors of 74352

List of positive integer factors of 74352 that divides 74340 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1549, 3098, 4647, 6196, 9294, 12392, 18588, 24784, 37176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74340 and 74352. The biggest common factor number is the GCF number.
So the greatest common factor 74340 and 74352 is 12.

Also check out the Least Common Multiple of 74340 and 74352