What is the Greatest Common Factor of 74399 and 74412?

Greatest common factor (GCF) of 74399 and 74412 is 13.

GCF(74399,74412) = 13

We will now calculate the prime factors of 74399 and 74412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74399 and 74412.

How to find the GCF of 74399 and 74412?

We will first find the prime factorization of 74399 and 74412. After we will calculate the factors of 74399 and 74412 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74412

Prime factors of 74412 are 2, 3, 13, 53. Prime factorization of 74412 in exponential form is:

74412 = 2² × 3³ × 13¹ × 53¹

Step-3: Factors of 74399

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

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

Step-4: Factors of 74412

List of positive integer factors of 74412 that divides 74399 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 53, 54, 78, 106, 108, 117, 156, 159, 212, 234, 318, 351, 468, 477, 636, 689, 702, 954, 1378, 1404, 1431, 1908, 2067, 2756, 2862, 4134, 5724, 6201, 8268, 12402, 18603, 24804, 37206

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74399 and 74412. The biggest common factor number is the GCF number.
So the greatest common factor 74399 and 74412 is 13.

Also check out the Least Common Multiple of 74399 and 74412