What is the Greatest Common Factor of 5414 and 5428?

Greatest common factor (GCF) of 5414 and 5428 is 2.

GCF(5414,5428) = 2

We will now calculate the prime factors of 5414 and 5428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5414 and 5428.

How to find the GCF of 5414 and 5428?

We will first find the prime factorization of 5414 and 5428. After we will calculate the factors of 5414 and 5428 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 5428

Prime factors of 5428 are 2, 23, 59. Prime factorization of 5428 in exponential form is:

5428 = 2² × 23¹ × 59¹

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 5428

List of positive integer factors of 5428 that divides 5414 without a remainder.

1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5414 and 5428. The biggest common factor number is the GCF number.
So the greatest common factor 5414 and 5428 is 2.

Also check out the Least Common Multiple of 5414 and 5428