What is the Greatest Common Factor of 20178 and 20185?

Greatest common factor (GCF) of 20178 and 20185 is 1.

GCF(20178,20185) = 1

We will now calculate the prime factors of 20178 and 20185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20178 and 20185.

How to find the GCF of 20178 and 20185?

We will first find the prime factorization of 20178 and 20185. After we will calculate the factors of 20178 and 20185 and find the biggest common factor number .

Step-1: Prime Factorization of 20178

Prime factors of 20178 are 2, 3, 19, 59. Prime factorization of 20178 in exponential form is:

20178 = 2¹ × 3² × 19¹ × 59¹

Step-2: Prime Factorization of 20185

Prime factors of 20185 are 5, 11, 367. Prime factorization of 20185 in exponential form is:

20185 = 5¹ × 11¹ × 367¹

Step-3: Factors of 20178

List of positive integer factors of 20178 that divides 20178 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 59, 114, 118, 171, 177, 342, 354, 531, 1062, 1121, 2242, 3363, 6726, 10089

Step-4: Factors of 20185

List of positive integer factors of 20185 that divides 20178 without a remainder.

1, 5, 11, 55, 367, 1835, 4037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20178 and 20185. The biggest common factor number is the GCF number.
So the greatest common factor 20178 and 20185 is 1.

Also check out the Least Common Multiple of 20178 and 20185