What is the Greatest Common Factor of 88171 and 88182?

Greatest common factor (GCF) of 88171 and 88182 is 1.

GCF(88171,88182) = 1

We will now calculate the prime factors of 88171 and 88182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88171 and 88182.

How to find the GCF of 88171 and 88182?

We will first find the prime factorization of 88171 and 88182. After we will calculate the factors of 88171 and 88182 and find the biggest common factor number .

Step-1: Prime Factorization of 88171

Prime factors of 88171 are 37, 2383. Prime factorization of 88171 in exponential form is:

88171 = 37¹ × 2383¹

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 88171

List of positive integer factors of 88171 that divides 88171 without a remainder.

1, 37, 2383

Step-4: Factors of 88182

List of positive integer factors of 88182 that divides 88171 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 88171 and 88182. The biggest common factor number is the GCF number.
So the greatest common factor 88171 and 88182 is 1.

Also check out the Least Common Multiple of 88171 and 88182