What is the Greatest Common Factor of 54640 and 54648?

Greatest common factor (GCF) of 54640 and 54648 is 8.

GCF(54640,54648) = 8

We will now calculate the prime factors of 54640 and 54648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54640 and 54648.

How to find the GCF of 54640 and 54648?

We will first find the prime factorization of 54640 and 54648. After we will calculate the factors of 54640 and 54648 and find the biggest common factor number .

Step-1: Prime Factorization of 54640

Prime factors of 54640 are 2, 5, 683. Prime factorization of 54640 in exponential form is:

54640 = 2⁴ × 5¹ × 683¹

Step-2: 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-3: Factors of 54640

List of positive integer factors of 54640 that divides 54640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 683, 1366, 2732, 3415, 5464, 6830, 10928, 13660, 27320

Step-4: Factors of 54648

List of positive integer factors of 54648 that divides 54640 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54640 and 54648. The biggest common factor number is the GCF number.
So the greatest common factor 54640 and 54648 is 8.

Also check out the Least Common Multiple of 54640 and 54648