What is the Greatest Common Factor of 84162 and 84177?

Greatest common factor (GCF) of 84162 and 84177 is 3.

GCF(84162,84177) = 3

We will now calculate the prime factors of 84162 and 84177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84162 and 84177.

How to find the GCF of 84162 and 84177?

We will first find the prime factorization of 84162 and 84177. After we will calculate the factors of 84162 and 84177 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84177

Prime factors of 84177 are 3, 47, 199. Prime factorization of 84177 in exponential form is:

84177 = 3² × 47¹ × 199¹

Step-3: Factors of 84162

List of positive integer factors of 84162 that divides 84162 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

Step-4: Factors of 84177

List of positive integer factors of 84177 that divides 84162 without a remainder.

1, 3, 9, 47, 141, 199, 423, 597, 1791, 9353, 28059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84162 and 84177. The biggest common factor number is the GCF number.
So the greatest common factor 84162 and 84177 is 3.

Also check out the Least Common Multiple of 84162 and 84177