What is the Greatest Common Factor of 84048 and 84054?

Greatest common factor (GCF) of 84048 and 84054 is 6.

GCF(84048,84054) = 6

We will now calculate the prime factors of 84048 and 84054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84048 and 84054.

How to find the GCF of 84048 and 84054?

We will first find the prime factorization of 84048 and 84054. After we will calculate the factors of 84048 and 84054 and find the biggest common factor number .

Step-1: Prime Factorization of 84048

Prime factors of 84048 are 2, 3, 17, 103. Prime factorization of 84048 in exponential form is:

84048 = 2⁴ × 3¹ × 17¹ × 103¹

Step-2: Prime Factorization of 84054

Prime factors of 84054 are 2, 3, 14009. Prime factorization of 84054 in exponential form is:

84054 = 2¹ × 3¹ × 14009¹

Step-3: Factors of 84048

List of positive integer factors of 84048 that divides 84048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 103, 136, 204, 206, 272, 309, 408, 412, 618, 816, 824, 1236, 1648, 1751, 2472, 3502, 4944, 5253, 7004, 10506, 14008, 21012, 28016, 42024

Step-4: Factors of 84054

List of positive integer factors of 84054 that divides 84048 without a remainder.

1, 2, 3, 6, 14009, 28018, 42027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84048 and 84054. The biggest common factor number is the GCF number.
So the greatest common factor 84048 and 84054 is 6.

Also check out the Least Common Multiple of 84048 and 84054