What is the Greatest Common Factor of 88167 and 88182?

Greatest common factor (GCF) of 88167 and 88182 is 3.

GCF(88167,88182) = 3

We will now calculate the prime factors of 88167 and 88182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88167 and 88182.

How to find the GCF of 88167 and 88182?

We will first find the prime factorization of 88167 and 88182. After we will calculate the factors of 88167 and 88182 and find the biggest common factor number .

Step-1: Prime Factorization of 88167

Prime factors of 88167 are 3, 29389. Prime factorization of 88167 in exponential form is:

88167 = 3¹ × 29389¹

Step-2: Prime Factorization of 88182

Prime factors of 88182 are 2, 3, 23, 71. Prime factorization of 88182 in exponential form is:

88182 = 2¹ × 3³ × 23¹ × 71¹

Step-3: Factors of 88167

List of positive integer factors of 88167 that divides 88167 without a remainder.

1, 3, 29389

Step-4: Factors of 88182

List of positive integer factors of 88182 that divides 88167 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 71, 138, 142, 207, 213, 414, 426, 621, 639, 1242, 1278, 1633, 1917, 3266, 3834, 4899, 9798, 14697, 29394, 44091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88167 and 88182. The biggest common factor number is the GCF number.
So the greatest common factor 88167 and 88182 is 3.

Also check out the Least Common Multiple of 88167 and 88182