What is the Greatest Common Factor of 54648 and 54659?

Greatest common factor (GCF) of 54648 and 54659 is 11.

GCF(54648,54659) = 11

We will now calculate the prime factors of 54648 and 54659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54648 and 54659.

How to find the GCF of 54648 and 54659?

We will first find the prime factorization of 54648 and 54659. After we will calculate the factors of 54648 and 54659 and find the biggest common factor number .

Step-1: Prime Factorization of 54648

Prime factors of 54648 are 2, 3, 11, 23. Prime factorization of 54648 in exponential form is:

54648 = 2³ × 3³ × 11¹ × 23¹

Step-2: Prime Factorization of 54659

Prime factors of 54659 are 11, 4969. Prime factorization of 54659 in exponential form is:

54659 = 11¹ × 4969¹

Step-3: Factors of 54648

List of positive integer factors of 54648 that divides 54648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 27, 33, 36, 44, 46, 54, 66, 69, 72, 88, 92, 99, 108, 132, 138, 184, 198, 207, 216, 253, 264, 276, 297, 396, 414, 506, 552, 594, 621, 759, 792, 828, 1012, 1188, 1242, 1518, 1656, 2024, 2277, 2376, 2484, 3036, 4554, 4968, 6072, 6831, 9108, 13662, 18216, 27324

Step-4: Factors of 54659

List of positive integer factors of 54659 that divides 54648 without a remainder.

1, 11, 4969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54648 and 54659. The biggest common factor number is the GCF number.
So the greatest common factor 54648 and 54659 is 11.

Also check out the Least Common Multiple of 54648 and 54659