What is the Greatest Common Factor of 4185 and 4202?

Greatest common factor (GCF) of 4185 and 4202 is 1.

GCF(4185,4202) = 1

We will now calculate the prime factors of 4185 and 4202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4185 and 4202.

How to find the GCF of 4185 and 4202?

We will first find the prime factorization of 4185 and 4202. After we will calculate the factors of 4185 and 4202 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 4202

Prime factors of 4202 are 2, 11, 191. Prime factorization of 4202 in exponential form is:

4202 = 2¹ × 11¹ × 191¹

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 4202

List of positive integer factors of 4202 that divides 4185 without a remainder.

1, 2, 11, 22, 191, 382, 2101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4185 and 4202. The biggest common factor number is the GCF number.
So the greatest common factor 4185 and 4202 is 1.

Also check out the Least Common Multiple of 4185 and 4202