What is the Greatest Common Factor of 54644 and 54648?

Greatest common factor (GCF) of 54644 and 54648 is 4.

GCF(54644,54648) = 4

We will now calculate the prime factors of 54644 and 54648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54644 and 54648.

How to find the GCF of 54644 and 54648?

We will first find the prime factorization of 54644 and 54648. After we will calculate the factors of 54644 and 54648 and find the biggest common factor number .

Step-1: Prime Factorization of 54644

Prime factors of 54644 are 2, 19, 719. Prime factorization of 54644 in exponential form is:

54644 = 2² × 19¹ × 719¹

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 54644

List of positive integer factors of 54644 that divides 54644 without a remainder.

1, 2, 4, 19, 38, 76, 719, 1438, 2876, 13661, 27322

Step-4: Factors of 54648

List of positive integer factors of 54648 that divides 54644 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 54644 and 54648. The biggest common factor number is the GCF number.
So the greatest common factor 54644 and 54648 is 4.

Also check out the Least Common Multiple of 54644 and 54648