What is the Greatest Common Factor of 54768 and 54780?

Greatest common factor (GCF) of 54768 and 54780 is 12.

GCF(54768,54780) = 12

We will now calculate the prime factors of 54768 and 54780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54768 and 54780.

How to find the GCF of 54768 and 54780?

We will first find the prime factorization of 54768 and 54780. After we will calculate the factors of 54768 and 54780 and find the biggest common factor number .

Step-1: Prime Factorization of 54768

Prime factors of 54768 are 2, 3, 7, 163. Prime factorization of 54768 in exponential form is:

54768 = 2⁴ × 3¹ × 7¹ × 163¹

Step-2: Prime Factorization of 54780

Prime factors of 54780 are 2, 3, 5, 11, 83. Prime factorization of 54780 in exponential form is:

54780 = 2² × 3¹ × 5¹ × 11¹ × 83¹

Step-3: Factors of 54768

List of positive integer factors of 54768 that divides 54768 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 163, 168, 326, 336, 489, 652, 978, 1141, 1304, 1956, 2282, 2608, 3423, 3912, 4564, 6846, 7824, 9128, 13692, 18256, 27384

Step-4: Factors of 54780

List of positive integer factors of 54780 that divides 54768 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 83, 110, 132, 165, 166, 220, 249, 330, 332, 415, 498, 660, 830, 913, 996, 1245, 1660, 1826, 2490, 2739, 3652, 4565, 4980, 5478, 9130, 10956, 13695, 18260, 27390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54768 and 54780. The biggest common factor number is the GCF number.
So the greatest common factor 54768 and 54780 is 12.

Also check out the Least Common Multiple of 54768 and 54780