What is the Greatest Common Factor of 43172 and 43182?

Greatest common factor (GCF) of 43172 and 43182 is 2.

GCF(43172,43182) = 2

We will now calculate the prime factors of 43172 and 43182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43172 and 43182.

How to find the GCF of 43172 and 43182?

We will first find the prime factorization of 43172 and 43182. After we will calculate the factors of 43172 and 43182 and find the biggest common factor number .

Step-1: Prime Factorization of 43172

Prime factors of 43172 are 2, 43, 251. Prime factorization of 43172 in exponential form is:

43172 = 2² × 43¹ × 251¹

Step-2: Prime Factorization of 43182

Prime factors of 43182 are 2, 3, 2399. Prime factorization of 43182 in exponential form is:

43182 = 2¹ × 3² × 2399¹

Step-3: Factors of 43172

List of positive integer factors of 43172 that divides 43172 without a remainder.

1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586

Step-4: Factors of 43182

List of positive integer factors of 43182 that divides 43172 without a remainder.

1, 2, 3, 6, 9, 18, 2399, 4798, 7197, 14394, 21591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43172 and 43182. The biggest common factor number is the GCF number.
So the greatest common factor 43172 and 43182 is 2.

Also check out the Least Common Multiple of 43172 and 43182