What is the Greatest Common Factor of 74340 and 74344?

Greatest common factor (GCF) of 74340 and 74344 is 4.

GCF(74340,74344) = 4

We will now calculate the prime factors of 74340 and 74344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74340 and 74344.

How to find the GCF of 74340 and 74344?

We will first find the prime factorization of 74340 and 74344. After we will calculate the factors of 74340 and 74344 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 74344

Prime factors of 74344 are 2, 9293. Prime factorization of 74344 in exponential form is:

74344 = 2³ × 9293¹

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 74344

List of positive integer factors of 74344 that divides 74340 without a remainder.

1, 2, 4, 8, 9293, 18586, 37172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74340 and 74344. The biggest common factor number is the GCF number.
So the greatest common factor 74340 and 74344 is 4.

Also check out the Least Common Multiple of 74340 and 74344