What is the Greatest Common Factor of 54285 and 54302?

Greatest common factor (GCF) of 54285 and 54302 is 1.

GCF(54285,54302) = 1

We will now calculate the prime factors of 54285 and 54302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54285 and 54302.

How to find the GCF of 54285 and 54302?

We will first find the prime factorization of 54285 and 54302. After we will calculate the factors of 54285 and 54302 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 54302

Prime factors of 54302 are 2, 19, 1429. Prime factorization of 54302 in exponential form is:

54302 = 2¹ × 19¹ × 1429¹

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 54302

List of positive integer factors of 54302 that divides 54285 without a remainder.

1, 2, 19, 38, 1429, 2858, 27151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54285 and 54302. The biggest common factor number is the GCF number.
So the greatest common factor 54285 and 54302 is 1.

Also check out the Least Common Multiple of 54285 and 54302