What is the Greatest Common Factor of 20164 and 20172?

Greatest common factor (GCF) of 20164 and 20172 is 4.

GCF(20164,20172) = 4

We will now calculate the prime factors of 20164 and 20172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20164 and 20172.

How to find the GCF of 20164 and 20172?

We will first find the prime factorization of 20164 and 20172. After we will calculate the factors of 20164 and 20172 and find the biggest common factor number .

Step-1: Prime Factorization of 20164

Prime factors of 20164 are 2, 71. Prime factorization of 20164 in exponential form is:

20164 = 2² × 71²

Step-2: Prime Factorization of 20172

Prime factors of 20172 are 2, 3, 41. Prime factorization of 20172 in exponential form is:

20172 = 2² × 3¹ × 41²

Step-3: Factors of 20164

List of positive integer factors of 20164 that divides 20164 without a remainder.

1, 2, 4, 71, 142, 284, 5041, 10082

Step-4: Factors of 20172

List of positive integer factors of 20172 that divides 20164 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492, 1681, 3362, 5043, 6724, 10086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20164 and 20172. The biggest common factor number is the GCF number.
So the greatest common factor 20164 and 20172 is 4.

Also check out the Least Common Multiple of 20164 and 20172