What is the Greatest Common Factor of 20146 and 20164?

Greatest common factor (GCF) of 20146 and 20164 is 2.

GCF(20146,20164) = 2

We will now calculate the prime factors of 20146 and 20164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20146 and 20164.

How to find the GCF of 20146 and 20164?

We will first find the prime factorization of 20146 and 20164. After we will calculate the factors of 20146 and 20164 and find the biggest common factor number .

Step-1: Prime Factorization of 20146

Prime factors of 20146 are 2, 7, 1439. Prime factorization of 20146 in exponential form is:

20146 = 2¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 20164

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

20164 = 2² × 71²

Step-3: Factors of 20146

List of positive integer factors of 20146 that divides 20146 without a remainder.

1, 2, 7, 14, 1439, 2878, 10073

Step-4: Factors of 20164

List of positive integer factors of 20164 that divides 20146 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20146 and 20164. The biggest common factor number is the GCF number.
So the greatest common factor 20146 and 20164 is 2.

Also check out the Least Common Multiple of 20146 and 20164