What is the Greatest Common Factor of 73380 and 73392?

Greatest common factor (GCF) of 73380 and 73392 is 12.

GCF(73380,73392) = 12

We will now calculate the prime factors of 73380 and 73392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73380 and 73392.

How to find the GCF of 73380 and 73392?

We will first find the prime factorization of 73380 and 73392. After we will calculate the factors of 73380 and 73392 and find the biggest common factor number .

Step-1: Prime Factorization of 73380

Prime factors of 73380 are 2, 3, 5, 1223. Prime factorization of 73380 in exponential form is:

73380 = 2² × 3¹ × 5¹ × 1223¹

Step-2: 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-3: Factors of 73380

List of positive integer factors of 73380 that divides 73380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1223, 2446, 3669, 4892, 6115, 7338, 12230, 14676, 18345, 24460, 36690

Step-4: Factors of 73392

List of positive integer factors of 73392 that divides 73380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73380 and 73392. The biggest common factor number is the GCF number.
So the greatest common factor 73380 and 73392 is 12.

Also check out the Least Common Multiple of 73380 and 73392