What is the Greatest Common Factor of 12278 and 12292?

Greatest common factor (GCF) of 12278 and 12292 is 14.

GCF(12278,12292) = 14

We will now calculate the prime factors of 12278 and 12292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12278 and 12292.

How to find the GCF of 12278 and 12292?

We will first find the prime factorization of 12278 and 12292. After we will calculate the factors of 12278 and 12292 and find the biggest common factor number .

Step-1: Prime Factorization of 12278

Prime factors of 12278 are 2, 7, 877. Prime factorization of 12278 in exponential form is:

12278 = 2¹ × 7¹ × 877¹

Step-2: Prime Factorization of 12292

Prime factors of 12292 are 2, 7, 439. Prime factorization of 12292 in exponential form is:

12292 = 2² × 7¹ × 439¹

Step-3: Factors of 12278

List of positive integer factors of 12278 that divides 12278 without a remainder.

1, 2, 7, 14, 877, 1754, 6139

Step-4: Factors of 12292

List of positive integer factors of 12292 that divides 12278 without a remainder.

1, 2, 4, 7, 14, 28, 439, 878, 1756, 3073, 6146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12278 and 12292. The biggest common factor number is the GCF number.
So the greatest common factor 12278 and 12292 is 14.

Also check out the Least Common Multiple of 12278 and 12292