What is the Greatest Common Factor of 54036 and 54048?

Greatest common factor (GCF) of 54036 and 54048 is 12.

GCF(54036,54048) = 12

We will now calculate the prime factors of 54036 and 54048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54036 and 54048.

How to find the GCF of 54036 and 54048?

We will first find the prime factorization of 54036 and 54048. After we will calculate the factors of 54036 and 54048 and find the biggest common factor number .

Step-1: Prime Factorization of 54036

Prime factors of 54036 are 2, 3, 19, 79. Prime factorization of 54036 in exponential form is:

54036 = 2² × 3² × 19¹ × 79¹

Step-2: Prime Factorization of 54048

Prime factors of 54048 are 2, 3, 563. Prime factorization of 54048 in exponential form is:

54048 = 2⁵ × 3¹ × 563¹

Step-3: Factors of 54036

List of positive integer factors of 54036 that divides 54036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 79, 114, 158, 171, 228, 237, 316, 342, 474, 684, 711, 948, 1422, 1501, 2844, 3002, 4503, 6004, 9006, 13509, 18012, 27018

Step-4: Factors of 54048

List of positive integer factors of 54048 that divides 54036 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 18016, 27024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54036 and 54048. The biggest common factor number is the GCF number.
So the greatest common factor 54036 and 54048 is 12.

Also check out the Least Common Multiple of 54036 and 54048