What is the Greatest Common Factor of 84144 and 84162?

Greatest common factor (GCF) of 84144 and 84162 is 6.

GCF(84144,84162) = 6

We will now calculate the prime factors of 84144 and 84162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84144 and 84162.

How to find the GCF of 84144 and 84162?

We will first find the prime factorization of 84144 and 84162. After we will calculate the factors of 84144 and 84162 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 84162

Prime factors of 84162 are 2, 3, 13, 83. Prime factorization of 84162 in exponential form is:

84162 = 2¹ × 3¹ × 13² × 83¹

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 84162

List of positive integer factors of 84162 that divides 84144 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 169, 249, 338, 498, 507, 1014, 1079, 2158, 3237, 6474, 14027, 28054, 42081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84144 and 84162. The biggest common factor number is the GCF number.
So the greatest common factor 84144 and 84162 is 6.

Also check out the Least Common Multiple of 84144 and 84162