What is the Greatest Common Factor of 54483 and 54494?

Greatest common factor (GCF) of 54483 and 54494 is 11.

GCF(54483,54494) = 11

We will now calculate the prime factors of 54483 and 54494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54483 and 54494.

How to find the GCF of 54483 and 54494?

We will first find the prime factorization of 54483 and 54494. After we will calculate the factors of 54483 and 54494 and find the biggest common factor number .

Step-1: Prime Factorization of 54483

Prime factors of 54483 are 3, 11, 13, 127. Prime factorization of 54483 in exponential form is:

54483 = 3¹ × 11¹ × 13¹ × 127¹

Step-2: Prime Factorization of 54494

Prime factors of 54494 are 2, 11, 2477. Prime factorization of 54494 in exponential form is:

54494 = 2¹ × 11¹ × 2477¹

Step-3: Factors of 54483

List of positive integer factors of 54483 that divides 54483 without a remainder.

1, 3, 11, 13, 33, 39, 127, 143, 381, 429, 1397, 1651, 4191, 4953, 18161

Step-4: Factors of 54494

List of positive integer factors of 54494 that divides 54483 without a remainder.

1, 2, 11, 22, 2477, 4954, 27247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54483 and 54494. The biggest common factor number is the GCF number.
So the greatest common factor 54483 and 54494 is 11.

Also check out the Least Common Multiple of 54483 and 54494