What is the Greatest Common Factor of 14754 and 14768?

Greatest common factor (GCF) of 14754 and 14768 is 2.

GCF(14754,14768) = 2

We will now calculate the prime factors of 14754 and 14768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14754 and 14768.

How to find the GCF of 14754 and 14768?

We will first find the prime factorization of 14754 and 14768. After we will calculate the factors of 14754 and 14768 and find the biggest common factor number .

Step-1: Prime Factorization of 14754

Prime factors of 14754 are 2, 3, 2459. Prime factorization of 14754 in exponential form is:

14754 = 2¹ × 3¹ × 2459¹

Step-2: Prime Factorization of 14768

Prime factors of 14768 are 2, 13, 71. Prime factorization of 14768 in exponential form is:

14768 = 2⁴ × 13¹ × 71¹

Step-3: Factors of 14754

List of positive integer factors of 14754 that divides 14754 without a remainder.

1, 2, 3, 6, 2459, 4918, 7377

Step-4: Factors of 14768

List of positive integer factors of 14768 that divides 14754 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 71, 104, 142, 208, 284, 568, 923, 1136, 1846, 3692, 7384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14754 and 14768. The biggest common factor number is the GCF number.
So the greatest common factor 14754 and 14768 is 2.

Also check out the Least Common Multiple of 14754 and 14768