What is the Greatest Common Factor of 40172 and 40182?

Greatest common factor (GCF) of 40172 and 40182 is 2.

GCF(40172,40182) = 2

We will now calculate the prime factors of 40172 and 40182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40172 and 40182.

How to find the GCF of 40172 and 40182?

We will first find the prime factorization of 40172 and 40182. After we will calculate the factors of 40172 and 40182 and find the biggest common factor number .

Step-1: Prime Factorization of 40172

Prime factors of 40172 are 2, 11, 83. Prime factorization of 40172 in exponential form is:

40172 = 2² × 11² × 83¹

Step-2: Prime Factorization of 40182

Prime factors of 40182 are 2, 3, 37, 181. Prime factorization of 40182 in exponential form is:

40182 = 2¹ × 3¹ × 37¹ × 181¹

Step-3: Factors of 40172

List of positive integer factors of 40172 that divides 40172 without a remainder.

1, 2, 4, 11, 22, 44, 83, 121, 166, 242, 332, 484, 913, 1826, 3652, 10043, 20086

Step-4: Factors of 40182

List of positive integer factors of 40182 that divides 40172 without a remainder.

1, 2, 3, 6, 37, 74, 111, 181, 222, 362, 543, 1086, 6697, 13394, 20091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40172 and 40182. The biggest common factor number is the GCF number.
So the greatest common factor 40172 and 40182 is 2.

Also check out the Least Common Multiple of 40172 and 40182