What is the Greatest Common Factor of 14654 and 14672?

Greatest common factor (GCF) of 14654 and 14672 is 2.

GCF(14654,14672) = 2

We will now calculate the prime factors of 14654 and 14672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14654 and 14672.

How to find the GCF of 14654 and 14672?

We will first find the prime factorization of 14654 and 14672. After we will calculate the factors of 14654 and 14672 and find the biggest common factor number .

Step-1: Prime Factorization of 14654

Prime factors of 14654 are 2, 17, 431. Prime factorization of 14654 in exponential form is:

14654 = 2¹ × 17¹ × 431¹

Step-2: 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-3: Factors of 14654

List of positive integer factors of 14654 that divides 14654 without a remainder.

1, 2, 17, 34, 431, 862, 7327

Step-4: Factors of 14672

List of positive integer factors of 14672 that divides 14654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14654 and 14672. The biggest common factor number is the GCF number.
So the greatest common factor 14654 and 14672 is 2.

Also check out the Least Common Multiple of 14654 and 14672