What is the Greatest Common Factor of 40164 and 40172?

Greatest common factor (GCF) of 40164 and 40172 is 4.

GCF(40164,40172) = 4

We will now calculate the prime factors of 40164 and 40172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40164 and 40172.

How to find the GCF of 40164 and 40172?

We will first find the prime factorization of 40164 and 40172. After we will calculate the factors of 40164 and 40172 and find the biggest common factor number .

Step-1: Prime Factorization of 40164

Prime factors of 40164 are 2, 3, 3347. Prime factorization of 40164 in exponential form is:

40164 = 2² × 3¹ × 3347¹

Step-2: 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-3: Factors of 40164

List of positive integer factors of 40164 that divides 40164 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082

Step-4: Factors of 40172

List of positive integer factors of 40172 that divides 40164 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40164 and 40172. The biggest common factor number is the GCF number.
So the greatest common factor 40164 and 40172 is 4.

Also check out the Least Common Multiple of 40164 and 40172