What is the Greatest Common Factor of 27414 and 27424?

Greatest common factor (GCF) of 27414 and 27424 is 2.

GCF(27414,27424) = 2

We will now calculate the prime factors of 27414 and 27424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27414 and 27424.

How to find the GCF of 27414 and 27424?

We will first find the prime factorization of 27414 and 27424. After we will calculate the factors of 27414 and 27424 and find the biggest common factor number .

Step-1: Prime Factorization of 27414

Prime factors of 27414 are 2, 3, 1523. Prime factorization of 27414 in exponential form is:

27414 = 2¹ × 3² × 1523¹

Step-2: Prime Factorization of 27424

Prime factors of 27424 are 2, 857. Prime factorization of 27424 in exponential form is:

27424 = 2⁵ × 857¹

Step-3: Factors of 27414

List of positive integer factors of 27414 that divides 27414 without a remainder.

1, 2, 3, 6, 9, 18, 1523, 3046, 4569, 9138, 13707

Step-4: Factors of 27424

List of positive integer factors of 27424 that divides 27414 without a remainder.

1, 2, 4, 8, 16, 32, 857, 1714, 3428, 6856, 13712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27414 and 27424. The biggest common factor number is the GCF number.
So the greatest common factor 27414 and 27424 is 2.

Also check out the Least Common Multiple of 27414 and 27424