What is the Greatest Common Factor of 14672 and 14683?

Greatest common factor (GCF) of 14672 and 14683 is 1.

GCF(14672,14683) = 1

We will now calculate the prime factors of 14672 and 14683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14672 and 14683.

How to find the GCF of 14672 and 14683?

We will first find the prime factorization of 14672 and 14683. After we will calculate the factors of 14672 and 14683 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 14683

Prime factors of 14683 are 14683. Prime factorization of 14683 in exponential form is:

14683 = 14683¹

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 14683

List of positive integer factors of 14683 that divides 14672 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14672 and 14683. The biggest common factor number is the GCF number.
So the greatest common factor 14672 and 14683 is 1.

Also check out the Least Common Multiple of 14672 and 14683