What is the Greatest Common Factor of 84162 and 84175?

Greatest common factor (GCF) of 84162 and 84175 is 13.

GCF(84162,84175) = 13

We will now calculate the prime factors of 84162 and 84175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84162 and 84175.

How to find the GCF of 84162 and 84175?

We will first find the prime factorization of 84162 and 84175. After we will calculate the factors of 84162 and 84175 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 84175

Prime factors of 84175 are 5, 7, 13, 37. Prime factorization of 84175 in exponential form is:

84175 = 5² × 7¹ × 13¹ × 37¹

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 84175

List of positive integer factors of 84175 that divides 84162 without a remainder.

1, 5, 7, 13, 25, 35, 37, 65, 91, 175, 185, 259, 325, 455, 481, 925, 1295, 2275, 2405, 3367, 6475, 12025, 16835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84162 and 84175. The biggest common factor number is the GCF number.
So the greatest common factor 84162 and 84175 is 13.

Also check out the Least Common Multiple of 84162 and 84175