What is the Greatest Common Factor of 14672 and 14686?

Greatest common factor (GCF) of 14672 and 14686 is 14.

GCF(14672,14686) = 14

We will now calculate the prime factors of 14672 and 14686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14672 and 14686.

How to find the GCF of 14672 and 14686?

We will first find the prime factorization of 14672 and 14686. After we will calculate the factors of 14672 and 14686 and find the biggest common factor number .

Step-1: Prime Factorization of 14672

Prime factors of 14672 are 2, 7, 131. Prime factorization of 14672 in exponential form is:

14672 = 2⁴ × 7¹ × 131¹

Step-2: Prime Factorization of 14686

Prime factors of 14686 are 2, 7, 1049. Prime factorization of 14686 in exponential form is:

14686 = 2¹ × 7¹ × 1049¹

Step-3: Factors of 14672

List of positive integer factors of 14672 that divides 14672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 131, 262, 524, 917, 1048, 1834, 2096, 3668, 7336

Step-4: Factors of 14686

List of positive integer factors of 14686 that divides 14672 without a remainder.

1, 2, 7, 14, 1049, 2098, 7343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14672 and 14686. The biggest common factor number is the GCF number.
So the greatest common factor 14672 and 14686 is 14.

Also check out the Least Common Multiple of 14672 and 14686