What is the Greatest Common Factor of 54299 and 54306?

Greatest common factor (GCF) of 54299 and 54306 is 7.

GCF(54299,54306) = 7

We will now calculate the prime factors of 54299 and 54306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54299 and 54306.

How to find the GCF of 54299 and 54306?

We will first find the prime factorization of 54299 and 54306. After we will calculate the factors of 54299 and 54306 and find the biggest common factor number .

Step-1: Prime Factorization of 54299

Prime factors of 54299 are 7, 7757. Prime factorization of 54299 in exponential form is:

54299 = 7¹ × 7757¹

Step-2: Prime Factorization of 54306

Prime factors of 54306 are 2, 3, 7, 431. Prime factorization of 54306 in exponential form is:

54306 = 2¹ × 3² × 7¹ × 431¹

Step-3: Factors of 54299

List of positive integer factors of 54299 that divides 54299 without a remainder.

1, 7, 7757

Step-4: Factors of 54306

List of positive integer factors of 54306 that divides 54299 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 431, 862, 1293, 2586, 3017, 3879, 6034, 7758, 9051, 18102, 27153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54299 and 54306. The biggest common factor number is the GCF number.
So the greatest common factor 54299 and 54306 is 7.

Also check out the Least Common Multiple of 54299 and 54306