What is the Greatest Common Factor of 14046 and 14050?

Greatest common factor (GCF) of 14046 and 14050 is 2.

GCF(14046,14050) = 2

We will now calculate the prime factors of 14046 and 14050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14046 and 14050.

How to find the GCF of 14046 and 14050?

We will first find the prime factorization of 14046 and 14050. After we will calculate the factors of 14046 and 14050 and find the biggest common factor number .

Step-1: Prime Factorization of 14046

Prime factors of 14046 are 2, 3, 2341. Prime factorization of 14046 in exponential form is:

14046 = 2¹ × 3¹ × 2341¹

Step-2: Prime Factorization of 14050

Prime factors of 14050 are 2, 5, 281. Prime factorization of 14050 in exponential form is:

14050 = 2¹ × 5² × 281¹

Step-3: Factors of 14046

List of positive integer factors of 14046 that divides 14046 without a remainder.

1, 2, 3, 6, 2341, 4682, 7023

Step-4: Factors of 14050

List of positive integer factors of 14050 that divides 14046 without a remainder.

1, 2, 5, 10, 25, 50, 281, 562, 1405, 2810, 7025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14046 and 14050. The biggest common factor number is the GCF number.
So the greatest common factor 14046 and 14050 is 2.

Also check out the Least Common Multiple of 14046 and 14050