What is the Greatest Common Factor of 5414 and 5424?

Greatest common factor (GCF) of 5414 and 5424 is 2.

GCF(5414,5424) = 2

We will now calculate the prime factors of 5414 and 5424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5414 and 5424.

How to find the GCF of 5414 and 5424?

We will first find the prime factorization of 5414 and 5424. After we will calculate the factors of 5414 and 5424 and find the biggest common factor number .

Step-1: Prime Factorization of 5414

Prime factors of 5414 are 2, 2707. Prime factorization of 5414 in exponential form is:

5414 = 2¹ × 2707¹

Step-2: Prime Factorization of 5424

Prime factors of 5424 are 2, 3, 113. Prime factorization of 5424 in exponential form is:

5424 = 2⁴ × 3¹ × 113¹

Step-3: Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1, 2, 2707

Step-4: Factors of 5424

List of positive integer factors of 5424 that divides 5414 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5414 and 5424. The biggest common factor number is the GCF number.
So the greatest common factor 5414 and 5424 is 2.

Also check out the Least Common Multiple of 5414 and 5424