What is the Greatest Common Factor of 84032 and 84048?

Greatest common factor (GCF) of 84032 and 84048 is 16.

GCF(84032,84048) = 16

We will now calculate the prime factors of 84032 and 84048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84032 and 84048.

How to find the GCF of 84032 and 84048?

We will first find the prime factorization of 84032 and 84048. After we will calculate the factors of 84032 and 84048 and find the biggest common factor number .

Step-1: Prime Factorization of 84032

Prime factors of 84032 are 2, 13, 101. Prime factorization of 84032 in exponential form is:

84032 = 2⁶ × 13¹ × 101¹

Step-2: 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-3: Factors of 84032

List of positive integer factors of 84032 that divides 84032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 101, 104, 202, 208, 404, 416, 808, 832, 1313, 1616, 2626, 3232, 5252, 6464, 10504, 21008, 42016

Step-4: Factors of 84048

List of positive integer factors of 84048 that divides 84032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84032 and 84048. The biggest common factor number is the GCF number.
So the greatest common factor 84032 and 84048 is 16.

Also check out the Least Common Multiple of 84032 and 84048