What is the Greatest Common Factor of 54285 and 54299?

Greatest common factor (GCF) of 54285 and 54299 is 7.

GCF(54285,54299) = 7

We will now calculate the prime factors of 54285 and 54299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54285 and 54299.

How to find the GCF of 54285 and 54299?

We will first find the prime factorization of 54285 and 54299. After we will calculate the factors of 54285 and 54299 and find the biggest common factor number .

Step-1: Prime Factorization of 54285

Prime factors of 54285 are 3, 5, 7, 11, 47. Prime factorization of 54285 in exponential form is:

54285 = 3¹ × 5¹ × 7¹ × 11¹ × 47¹

Step-2: Prime Factorization of 54299

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

54299 = 7¹ × 7757¹

Step-3: Factors of 54285

List of positive integer factors of 54285 that divides 54285 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 47, 55, 77, 105, 141, 165, 231, 235, 329, 385, 517, 705, 987, 1155, 1551, 1645, 2585, 3619, 4935, 7755, 10857, 18095

Step-4: Factors of 54299

List of positive integer factors of 54299 that divides 54285 without a remainder.

1, 7, 7757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54285 and 54299. The biggest common factor number is the GCF number.
So the greatest common factor 54285 and 54299 is 7.

Also check out the Least Common Multiple of 54285 and 54299