What is the Greatest Common Factor of 71424 and 71442?

Greatest common factor (GCF) of 71424 and 71442 is 18.

GCF(71424,71442) = 18

We will now calculate the prime factors of 71424 and 71442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71424 and 71442.

How to find the GCF of 71424 and 71442?

We will first find the prime factorization of 71424 and 71442. After we will calculate the factors of 71424 and 71442 and find the biggest common factor number .

Step-1: Prime Factorization of 71424

Prime factors of 71424 are 2, 3, 31. Prime factorization of 71424 in exponential form is:

71424 = 2⁸ × 3² × 31¹

Step-2: Prime Factorization of 71442

Prime factors of 71442 are 2, 3, 7. Prime factorization of 71442 in exponential form is:

71442 = 2¹ × 3⁶ × 7²

Step-3: Factors of 71424

List of positive integer factors of 71424 that divides 71424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 64, 72, 93, 96, 124, 128, 144, 186, 192, 248, 256, 279, 288, 372, 384, 496, 558, 576, 744, 768, 992, 1116, 1152, 1488, 1984, 2232, 2304, 2976, 3968, 4464, 5952, 7936, 8928, 11904, 17856, 23808, 35712

Step-4: Factors of 71442

List of positive integer factors of 71442 that divides 71424 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 243, 294, 378, 441, 486, 567, 729, 882, 1134, 1323, 1458, 1701, 2646, 3402, 3969, 5103, 7938, 10206, 11907, 23814, 35721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71424 and 71442. The biggest common factor number is the GCF number.
So the greatest common factor 71424 and 71442 is 18.

Also check out the Least Common Multiple of 71424 and 71442