What is the Greatest Common Factor of 14234 and 14252?

Greatest common factor (GCF) of 14234 and 14252 is 2.

GCF(14234,14252) = 2

We will now calculate the prime factors of 14234 and 14252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14234 and 14252.

How to find the GCF of 14234 and 14252?

We will first find the prime factorization of 14234 and 14252. After we will calculate the factors of 14234 and 14252 and find the biggest common factor number .

Step-1: Prime Factorization of 14234

Prime factors of 14234 are 2, 11, 647. Prime factorization of 14234 in exponential form is:

14234 = 2¹ × 11¹ × 647¹

Step-2: Prime Factorization of 14252

Prime factors of 14252 are 2, 7, 509. Prime factorization of 14252 in exponential form is:

14252 = 2² × 7¹ × 509¹

Step-3: Factors of 14234

List of positive integer factors of 14234 that divides 14234 without a remainder.

1, 2, 11, 22, 647, 1294, 7117

Step-4: Factors of 14252

List of positive integer factors of 14252 that divides 14234 without a remainder.

1, 2, 4, 7, 14, 28, 509, 1018, 2036, 3563, 7126

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14234 and 14252. The biggest common factor number is the GCF number.
So the greatest common factor 14234 and 14252 is 2.

Also check out the Least Common Multiple of 14234 and 14252