What is the Greatest Common Factor of 54690 and 54696?

Greatest common factor (GCF) of 54690 and 54696 is 6.

GCF(54690,54696) = 6

We will now calculate the prime factors of 54690 and 54696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54690 and 54696.

How to find the GCF of 54690 and 54696?

We will first find the prime factorization of 54690 and 54696. After we will calculate the factors of 54690 and 54696 and find the biggest common factor number .

Step-1: Prime Factorization of 54690

Prime factors of 54690 are 2, 3, 5, 1823. Prime factorization of 54690 in exponential form is:

54690 = 2¹ × 3¹ × 5¹ × 1823¹

Step-2: Prime Factorization of 54696

Prime factors of 54696 are 2, 3, 43, 53. Prime factorization of 54696 in exponential form is:

54696 = 2³ × 3¹ × 43¹ × 53¹

Step-3: Factors of 54690

List of positive integer factors of 54690 that divides 54690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1823, 3646, 5469, 9115, 10938, 18230, 27345

Step-4: Factors of 54696

List of positive integer factors of 54696 that divides 54690 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 53, 86, 106, 129, 159, 172, 212, 258, 318, 344, 424, 516, 636, 1032, 1272, 2279, 4558, 6837, 9116, 13674, 18232, 27348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54690 and 54696. The biggest common factor number is the GCF number.
So the greatest common factor 54690 and 54696 is 6.

Also check out the Least Common Multiple of 54690 and 54696