What is the Greatest Common Factor of 43172 and 43190?

Greatest common factor (GCF) of 43172 and 43190 is 2.

GCF(43172,43190) = 2

We will now calculate the prime factors of 43172 and 43190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43172 and 43190.

How to find the GCF of 43172 and 43190?

We will first find the prime factorization of 43172 and 43190. After we will calculate the factors of 43172 and 43190 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 43190

Prime factors of 43190 are 2, 5, 7, 617. Prime factorization of 43190 in exponential form is:

43190 = 2¹ × 5¹ × 7¹ × 617¹

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 43190

List of positive integer factors of 43190 that divides 43172 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 617, 1234, 3085, 4319, 6170, 8638, 21595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43172 and 43190. The biggest common factor number is the GCF number.
So the greatest common factor 43172 and 43190 is 2.

Also check out the Least Common Multiple of 43172 and 43190