What is the Greatest Common Factor of 14294 and 14300?

Greatest common factor (GCF) of 14294 and 14300 is 2.

GCF(14294,14300) = 2

We will now calculate the prime factors of 14294 and 14300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14294 and 14300.

How to find the GCF of 14294 and 14300?

We will first find the prime factorization of 14294 and 14300. After we will calculate the factors of 14294 and 14300 and find the biggest common factor number .

Step-1: Prime Factorization of 14294

Prime factors of 14294 are 2, 7, 1021. Prime factorization of 14294 in exponential form is:

14294 = 2¹ × 7¹ × 1021¹

Step-2: Prime Factorization of 14300

Prime factors of 14300 are 2, 5, 11, 13. Prime factorization of 14300 in exponential form is:

14300 = 2² × 5² × 11¹ × 13¹

Step-3: Factors of 14294

List of positive integer factors of 14294 that divides 14294 without a remainder.

1, 2, 7, 14, 1021, 2042, 7147

Step-4: Factors of 14300

List of positive integer factors of 14300 that divides 14294 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 130, 143, 220, 260, 275, 286, 325, 550, 572, 650, 715, 1100, 1300, 1430, 2860, 3575, 7150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14294 and 14300. The biggest common factor number is the GCF number.
So the greatest common factor 14294 and 14300 is 2.

Also check out the Least Common Multiple of 14294 and 14300