What is the Greatest Common Factor of 14685 and 14696?

Greatest common factor (GCF) of 14685 and 14696 is 11.

GCF(14685,14696) = 11

We will now calculate the prime factors of 14685 and 14696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14685 and 14696.

How to find the GCF of 14685 and 14696?

We will first find the prime factorization of 14685 and 14696. After we will calculate the factors of 14685 and 14696 and find the biggest common factor number .

Step-1: Prime Factorization of 14685

Prime factors of 14685 are 3, 5, 11, 89. Prime factorization of 14685 in exponential form is:

14685 = 3¹ × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 14696

Prime factors of 14696 are 2, 11, 167. Prime factorization of 14696 in exponential form is:

14696 = 2³ × 11¹ × 167¹

Step-3: Factors of 14685

List of positive integer factors of 14685 that divides 14685 without a remainder.

1, 3, 5, 11, 15, 33, 55, 89, 165, 267, 445, 979, 1335, 2937, 4895

Step-4: Factors of 14696

List of positive integer factors of 14696 that divides 14685 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 167, 334, 668, 1336, 1837, 3674, 7348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14685 and 14696. The biggest common factor number is the GCF number.
So the greatest common factor 14685 and 14696 is 11.

Also check out the Least Common Multiple of 14685 and 14696