What is the Greatest Common Factor of 14189 and 14202?

Greatest common factor (GCF) of 14189 and 14202 is 1.

GCF(14189,14202) = 1

We will now calculate the prime factors of 14189 and 14202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14189 and 14202.

How to find the GCF of 14189 and 14202?

We will first find the prime factorization of 14189 and 14202. After we will calculate the factors of 14189 and 14202 and find the biggest common factor number .

Step-1: Prime Factorization of 14189

Prime factors of 14189 are 7, 2027. Prime factorization of 14189 in exponential form is:

14189 = 7¹ × 2027¹

Step-2: Prime Factorization of 14202

Prime factors of 14202 are 2, 3, 263. Prime factorization of 14202 in exponential form is:

14202 = 2¹ × 3³ × 263¹

Step-3: Factors of 14189

List of positive integer factors of 14189 that divides 14189 without a remainder.

1, 7, 2027

Step-4: Factors of 14202

List of positive integer factors of 14202 that divides 14189 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 263, 526, 789, 1578, 2367, 4734, 7101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14189 and 14202. The biggest common factor number is the GCF number.
So the greatest common factor 14189 and 14202 is 1.

Also check out the Least Common Multiple of 14189 and 14202