What is the Greatest Common Factor of 54814 and 54832?

Greatest common factor (GCF) of 54814 and 54832 is 2.

GCF(54814,54832) = 2

We will now calculate the prime factors of 54814 and 54832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54814 and 54832.

How to find the GCF of 54814 and 54832?

We will first find the prime factorization of 54814 and 54832. After we will calculate the factors of 54814 and 54832 and find the biggest common factor number .

Step-1: Prime Factorization of 54814

Prime factors of 54814 are 2, 27407. Prime factorization of 54814 in exponential form is:

54814 = 2¹ × 27407¹

Step-2: Prime Factorization of 54832

Prime factors of 54832 are 2, 23, 149. Prime factorization of 54832 in exponential form is:

54832 = 2⁴ × 23¹ × 149¹

Step-3: Factors of 54814

List of positive integer factors of 54814 that divides 54814 without a remainder.

1, 2, 27407

Step-4: Factors of 54832

List of positive integer factors of 54832 that divides 54814 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 149, 184, 298, 368, 596, 1192, 2384, 3427, 6854, 13708, 27416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54814 and 54832. The biggest common factor number is the GCF number.
So the greatest common factor 54814 and 54832 is 2.

Also check out the Least Common Multiple of 54814 and 54832