What is the Greatest Common Factor of 71424 and 71438?

Greatest common factor (GCF) of 71424 and 71438 is 2.

GCF(71424,71438) = 2

We will now calculate the prime factors of 71424 and 71438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71424 and 71438.

How to find the GCF of 71424 and 71438?

We will first find the prime factorization of 71424 and 71438. After we will calculate the factors of 71424 and 71438 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 71438

Prime factors of 71438 are 2, 23, 1553. Prime factorization of 71438 in exponential form is:

71438 = 2¹ × 23¹ × 1553¹

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 71438

List of positive integer factors of 71438 that divides 71424 without a remainder.

1, 2, 23, 46, 1553, 3106, 35719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71424 and 71438. The biggest common factor number is the GCF number.
So the greatest common factor 71424 and 71438 is 2.

Also check out the Least Common Multiple of 71424 and 71438