What is the Greatest Common Factor of 4185 and 4196?

Greatest common factor (GCF) of 4185 and 4196 is 1.

GCF(4185,4196) = 1

We will now calculate the prime factors of 4185 and 4196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4185 and 4196.

How to find the GCF of 4185 and 4196?

We will first find the prime factorization of 4185 and 4196. After we will calculate the factors of 4185 and 4196 and find the biggest common factor number .

Step-1: Prime Factorization of 4185

Prime factors of 4185 are 3, 5, 31. Prime factorization of 4185 in exponential form is:

4185 = 3³ × 5¹ × 31¹

Step-2: Prime Factorization of 4196

Prime factors of 4196 are 2, 1049. Prime factorization of 4196 in exponential form is:

4196 = 2² × 1049¹

Step-3: Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395

Step-4: Factors of 4196

List of positive integer factors of 4196 that divides 4185 without a remainder.

1, 2, 4, 1049, 2098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4185 and 4196. The biggest common factor number is the GCF number.
So the greatest common factor 4185 and 4196 is 1.

Also check out the Least Common Multiple of 4185 and 4196