What is the Greatest Common Factor of 71414 and 71424?

Greatest common factor (GCF) of 71414 and 71424 is 2.

GCF(71414,71424) = 2

We will now calculate the prime factors of 71414 and 71424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71414 and 71424.

How to find the GCF of 71414 and 71424?

We will first find the prime factorization of 71414 and 71424. After we will calculate the factors of 71414 and 71424 and find the biggest common factor number .

Step-1: Prime Factorization of 71414

Prime factors of 71414 are 2, 7, 5101. Prime factorization of 71414 in exponential form is:

71414 = 2¹ × 7¹ × 5101¹

Step-2: 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-3: Factors of 71414

List of positive integer factors of 71414 that divides 71414 without a remainder.

1, 2, 7, 14, 5101, 10202, 35707

Step-4: Factors of 71424

List of positive integer factors of 71424 that divides 71414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71414 and 71424. The biggest common factor number is the GCF number.
So the greatest common factor 71414 and 71424 is 2.

Also check out the Least Common Multiple of 71414 and 71424