What is the Greatest Common Factor of 54945 and 54956?

Greatest common factor (GCF) of 54945 and 54956 is 11.

GCF(54945,54956) = 11

We will now calculate the prime factors of 54945 and 54956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54945 and 54956.

How to find the GCF of 54945 and 54956?

We will first find the prime factorization of 54945 and 54956. After we will calculate the factors of 54945 and 54956 and find the biggest common factor number .

Step-1: Prime Factorization of 54945

Prime factors of 54945 are 3, 5, 11, 37. Prime factorization of 54945 in exponential form is:

54945 = 3³ × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 54956

Prime factors of 54956 are 2, 11, 1249. Prime factorization of 54956 in exponential form is:

54956 = 2² × 11¹ × 1249¹

Step-3: Factors of 54945

List of positive integer factors of 54945 that divides 54945 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 37, 45, 55, 99, 111, 135, 165, 185, 297, 333, 407, 495, 555, 999, 1221, 1485, 1665, 2035, 3663, 4995, 6105, 10989, 18315

Step-4: Factors of 54956

List of positive integer factors of 54956 that divides 54945 without a remainder.

1, 2, 4, 11, 22, 44, 1249, 2498, 4996, 13739, 27478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54945 and 54956. The biggest common factor number is the GCF number.
So the greatest common factor 54945 and 54956 is 11.

Also check out the Least Common Multiple of 54945 and 54956