What is the Greatest Common Factor of 84144 and 84160?

Greatest common factor (GCF) of 84144 and 84160 is 16.

GCF(84144,84160) = 16

We will now calculate the prime factors of 84144 and 84160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84144 and 84160.

How to find the GCF of 84144 and 84160?

We will first find the prime factorization of 84144 and 84160. After we will calculate the factors of 84144 and 84160 and find the biggest common factor number .

Step-1: Prime Factorization of 84144

Prime factors of 84144 are 2, 3, 1753. Prime factorization of 84144 in exponential form is:

84144 = 2⁴ × 3¹ × 1753¹

Step-2: Prime Factorization of 84160

Prime factors of 84160 are 2, 5, 263. Prime factorization of 84160 in exponential form is:

84160 = 2⁶ × 5¹ × 263¹

Step-3: Factors of 84144

List of positive integer factors of 84144 that divides 84144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1753, 3506, 5259, 7012, 10518, 14024, 21036, 28048, 42072

Step-4: Factors of 84160

List of positive integer factors of 84160 that divides 84144 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 263, 320, 526, 1052, 1315, 2104, 2630, 4208, 5260, 8416, 10520, 16832, 21040, 42080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84144 and 84160. The biggest common factor number is the GCF number.
So the greatest common factor 84144 and 84160 is 16.

Also check out the Least Common Multiple of 84144 and 84160