What is the Greatest Common Factor of 14202 and 14211?

Greatest common factor (GCF) of 14202 and 14211 is 9.

GCF(14202,14211) = 9

We will now calculate the prime factors of 14202 and 14211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14202 and 14211.

How to find the GCF of 14202 and 14211?

We will first find the prime factorization of 14202 and 14211. After we will calculate the factors of 14202 and 14211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14211

Prime factors of 14211 are 3, 1579. Prime factorization of 14211 in exponential form is:

14211 = 3² × 1579¹

Step-3: Factors of 14202

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

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

Step-4: Factors of 14211

List of positive integer factors of 14211 that divides 14202 without a remainder.

1, 3, 9, 1579, 4737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14202 and 14211. The biggest common factor number is the GCF number.
So the greatest common factor 14202 and 14211 is 9.

Also check out the Least Common Multiple of 14202 and 14211