What is the Greatest Common Factor of 14278 and 14282?

Greatest common factor (GCF) of 14278 and 14282 is 2.

GCF(14278,14282) = 2

We will now calculate the prime factors of 14278 and 14282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14278 and 14282.

How to find the GCF of 14278 and 14282?

We will first find the prime factorization of 14278 and 14282. After we will calculate the factors of 14278 and 14282 and find the biggest common factor number .

Step-1: Prime Factorization of 14278

Prime factors of 14278 are 2, 11, 59. Prime factorization of 14278 in exponential form is:

14278 = 2¹ × 11² × 59¹

Step-2: Prime Factorization of 14282

Prime factors of 14282 are 2, 37, 193. Prime factorization of 14282 in exponential form is:

14282 = 2¹ × 37¹ × 193¹

Step-3: Factors of 14278

List of positive integer factors of 14278 that divides 14278 without a remainder.

1, 2, 11, 22, 59, 118, 121, 242, 649, 1298, 7139

Step-4: Factors of 14282

List of positive integer factors of 14282 that divides 14278 without a remainder.

1, 2, 37, 74, 193, 386, 7141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14278 and 14282. The biggest common factor number is the GCF number.
So the greatest common factor 14278 and 14282 is 2.

Also check out the Least Common Multiple of 14278 and 14282