What is the Greatest Common Factor of 20145 and 20151?

Greatest common factor (GCF) of 20145 and 20151 is 3.

GCF(20145,20151) = 3

We will now calculate the prime factors of 20145 and 20151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20145 and 20151.

How to find the GCF of 20145 and 20151?

We will first find the prime factorization of 20145 and 20151. After we will calculate the factors of 20145 and 20151 and find the biggest common factor number .

Step-1: Prime Factorization of 20145

Prime factors of 20145 are 3, 5, 17, 79. Prime factorization of 20145 in exponential form is:

20145 = 3¹ × 5¹ × 17¹ × 79¹

Step-2: Prime Factorization of 20151

Prime factors of 20151 are 3, 2239. Prime factorization of 20151 in exponential form is:

20151 = 3² × 2239¹

Step-3: Factors of 20145

List of positive integer factors of 20145 that divides 20145 without a remainder.

1, 3, 5, 15, 17, 51, 79, 85, 237, 255, 395, 1185, 1343, 4029, 6715

Step-4: Factors of 20151

List of positive integer factors of 20151 that divides 20145 without a remainder.

1, 3, 9, 2239, 6717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20145 and 20151. The biggest common factor number is the GCF number.
So the greatest common factor 20145 and 20151 is 3.

Also check out the Least Common Multiple of 20145 and 20151