What is the Greatest Common Factor of 14434 and 14450?

Greatest common factor (GCF) of 14434 and 14450 is 2.

GCF(14434,14450) = 2

We will now calculate the prime factors of 14434 and 14450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14434 and 14450.

How to find the GCF of 14434 and 14450?

We will first find the prime factorization of 14434 and 14450. After we will calculate the factors of 14434 and 14450 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14450

Prime factors of 14450 are 2, 5, 17. Prime factorization of 14450 in exponential form is:

14450 = 2¹ × 5² × 17²

Step-3: Factors of 14434

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

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

Step-4: Factors of 14450

List of positive integer factors of 14450 that divides 14434 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 289, 425, 578, 850, 1445, 2890, 7225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14434 and 14450. The biggest common factor number is the GCF number.
So the greatest common factor 14434 and 14450 is 2.

Also check out the Least Common Multiple of 14434 and 14450