What is the Greatest Common Factor of 73392 and 73398?

Greatest common factor (GCF) of 73392 and 73398 is 6.

GCF(73392,73398) = 6

We will now calculate the prime factors of 73392 and 73398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73392 and 73398.

How to find the GCF of 73392 and 73398?

We will first find the prime factorization of 73392 and 73398. After we will calculate the factors of 73392 and 73398 and find the biggest common factor number .

Step-1: Prime Factorization of 73392

Prime factors of 73392 are 2, 3, 11, 139. Prime factorization of 73392 in exponential form is:

73392 = 2⁴ × 3¹ × 11¹ × 139¹

Step-2: Prime Factorization of 73398

Prime factors of 73398 are 2, 3, 13, 941. Prime factorization of 73398 in exponential form is:

73398 = 2¹ × 3¹ × 13¹ × 941¹

Step-3: Factors of 73392

List of positive integer factors of 73392 that divides 73392 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 139, 176, 264, 278, 417, 528, 556, 834, 1112, 1529, 1668, 2224, 3058, 3336, 4587, 6116, 6672, 9174, 12232, 18348, 24464, 36696

Step-4: Factors of 73398

List of positive integer factors of 73398 that divides 73392 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 941, 1882, 2823, 5646, 12233, 24466, 36699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73392 and 73398. The biggest common factor number is the GCF number.
So the greatest common factor 73392 and 73398 is 6.

Also check out the Least Common Multiple of 73392 and 73398