What is the Greatest Common Factor of 84048 and 84065?

Greatest common factor (GCF) of 84048 and 84065 is 17.

GCF(84048,84065) = 17

We will now calculate the prime factors of 84048 and 84065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84048 and 84065.

How to find the GCF of 84048 and 84065?

We will first find the prime factorization of 84048 and 84065. After we will calculate the factors of 84048 and 84065 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 84065

Prime factors of 84065 are 5, 17, 23, 43. Prime factorization of 84065 in exponential form is:

84065 = 5¹ × 17¹ × 23¹ × 43¹

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 84065

List of positive integer factors of 84065 that divides 84048 without a remainder.

1, 5, 17, 23, 43, 85, 115, 215, 391, 731, 989, 1955, 3655, 4945, 16813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84048 and 84065. The biggest common factor number is the GCF number.
So the greatest common factor 84048 and 84065 is 17.

Also check out the Least Common Multiple of 84048 and 84065