What is the Greatest Common Factor of 14420 and 14434?

Greatest common factor (GCF) of 14420 and 14434 is 14.

GCF(14420,14434) = 14

We will now calculate the prime factors of 14420 and 14434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14420 and 14434.

How to find the GCF of 14420 and 14434?

We will first find the prime factorization of 14420 and 14434. After we will calculate the factors of 14420 and 14434 and find the biggest common factor number .

Step-1: Prime Factorization of 14420

Prime factors of 14420 are 2, 5, 7, 103. Prime factorization of 14420 in exponential form is:

14420 = 2² × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 14434

Prime factors of 14434 are 2, 7, 1031. Prime factorization of 14434 in exponential form is:

14434 = 2¹ × 7¹ × 1031¹

Step-3: Factors of 14420

List of positive integer factors of 14420 that divides 14420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 103, 140, 206, 412, 515, 721, 1030, 1442, 2060, 2884, 3605, 7210

Step-4: Factors of 14434

List of positive integer factors of 14434 that divides 14420 without a remainder.

1, 2, 7, 14, 1031, 2062, 7217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14420 and 14434. The biggest common factor number is the GCF number.
So the greatest common factor 14420 and 14434 is 14.

Also check out the Least Common Multiple of 14420 and 14434