What is the Greatest Common Factor of 67374 and 67392?

Greatest common factor (GCF) of 67374 and 67392 is 18.

GCF(67374,67392) = 18

We will now calculate the prime factors of 67374 and 67392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67374 and 67392.

How to find the GCF of 67374 and 67392?

We will first find the prime factorization of 67374 and 67392. After we will calculate the factors of 67374 and 67392 and find the biggest common factor number .

Step-1: Prime Factorization of 67374

Prime factors of 67374 are 2, 3, 19, 197. Prime factorization of 67374 in exponential form is:

67374 = 2¹ × 3² × 19¹ × 197¹

Step-2: Prime Factorization of 67392

Prime factors of 67392 are 2, 3, 13. Prime factorization of 67392 in exponential form is:

67392 = 2⁶ × 3⁴ × 13¹

Step-3: Factors of 67374

List of positive integer factors of 67374 that divides 67374 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182, 1773, 3546, 3743, 7486, 11229, 22458, 33687

Step-4: Factors of 67392

List of positive integer factors of 67392 that divides 67374 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 81, 96, 104, 108, 117, 144, 156, 162, 192, 208, 216, 234, 288, 312, 324, 351, 416, 432, 468, 576, 624, 648, 702, 832, 864, 936, 1053, 1248, 1296, 1404, 1728, 1872, 2106, 2496, 2592, 2808, 3744, 4212, 5184, 5616, 7488, 8424, 11232, 16848, 22464, 33696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67374 and 67392. The biggest common factor number is the GCF number.
So the greatest common factor 67374 and 67392 is 18.

Also check out the Least Common Multiple of 67374 and 67392