What is the Greatest Common Factor of 74382 and 74399?

Greatest common factor (GCF) of 74382 and 74399 is 1.

GCF(74382,74399) = 1

We will now calculate the prime factors of 74382 and 74399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74382 and 74399.

How to find the GCF of 74382 and 74399?

We will first find the prime factorization of 74382 and 74399. After we will calculate the factors of 74382 and 74399 and find the biggest common factor number .

Step-1: Prime Factorization of 74382

Prime factors of 74382 are 2, 3, 7, 11, 23. Prime factorization of 74382 in exponential form is:

74382 = 2¹ × 3¹ × 7² × 11¹ × 23¹

Step-2: Prime Factorization of 74399

Prime factors of 74399 are 13, 59, 97. Prime factorization of 74399 in exponential form is:

74399 = 13¹ × 59¹ × 97¹

Step-3: Factors of 74382

List of positive integer factors of 74382 that divides 74382 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 23, 33, 42, 46, 49, 66, 69, 77, 98, 138, 147, 154, 161, 231, 253, 294, 322, 462, 483, 506, 539, 759, 966, 1078, 1127, 1518, 1617, 1771, 2254, 3234, 3381, 3542, 5313, 6762, 10626, 12397, 24794, 37191

Step-4: Factors of 74399

List of positive integer factors of 74399 that divides 74382 without a remainder.

1, 13, 59, 97, 767, 1261, 5723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74382 and 74399. The biggest common factor number is the GCF number.
So the greatest common factor 74382 and 74399 is 1.

Also check out the Least Common Multiple of 74382 and 74399