What is the Greatest Common Factor of 27408 and 27424?

Greatest common factor (GCF) of 27408 and 27424 is 16.

GCF(27408,27424) = 16

We will now calculate the prime factors of 27408 and 27424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27408 and 27424.

How to find the GCF of 27408 and 27424?

We will first find the prime factorization of 27408 and 27424. After we will calculate the factors of 27408 and 27424 and find the biggest common factor number .

Step-1: Prime Factorization of 27408

Prime factors of 27408 are 2, 3, 571. Prime factorization of 27408 in exponential form is:

27408 = 2⁴ × 3¹ × 571¹

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 27408

List of positive integer factors of 27408 that divides 27408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 571, 1142, 1713, 2284, 3426, 4568, 6852, 9136, 13704

Step-4: Factors of 27424

List of positive integer factors of 27424 that divides 27408 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 27408 and 27424. The biggest common factor number is the GCF number.
So the greatest common factor 27408 and 27424 is 16.

Also check out the Least Common Multiple of 27408 and 27424