What is the Greatest Common Factor of 67392 and 67402?

Greatest common factor (GCF) of 67392 and 67402 is 2.

GCF(67392,67402) = 2

We will now calculate the prime factors of 67392 and 67402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67392 and 67402.

How to find the GCF of 67392 and 67402?

We will first find the prime factorization of 67392 and 67402. After we will calculate the factors of 67392 and 67402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67402

Prime factors of 67402 are 2, 67, 503. Prime factorization of 67402 in exponential form is:

67402 = 2¹ × 67¹ × 503¹

Step-3: Factors of 67392

List of positive integer factors of 67392 that divides 67392 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

Step-4: Factors of 67402

List of positive integer factors of 67402 that divides 67392 without a remainder.

1, 2, 67, 134, 503, 1006, 33701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67392 and 67402. The biggest common factor number is the GCF number.
So the greatest common factor 67392 and 67402 is 2.

Also check out the Least Common Multiple of 67392 and 67402