What is the Greatest Common Factor of 14946 and 14965?

Greatest common factor (GCF) of 14946 and 14965 is 1.

GCF(14946,14965) = 1

We will now calculate the prime factors of 14946 and 14965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14946 and 14965.

How to find the GCF of 14946 and 14965?

We will first find the prime factorization of 14946 and 14965. After we will calculate the factors of 14946 and 14965 and find the biggest common factor number .

Step-1: Prime Factorization of 14946

Prime factors of 14946 are 2, 3, 47, 53. Prime factorization of 14946 in exponential form is:

14946 = 2¹ × 3¹ × 47¹ × 53¹

Step-2: Prime Factorization of 14965

Prime factors of 14965 are 5, 41, 73. Prime factorization of 14965 in exponential form is:

14965 = 5¹ × 41¹ × 73¹

Step-3: Factors of 14946

List of positive integer factors of 14946 that divides 14946 without a remainder.

1, 2, 3, 6, 47, 53, 94, 106, 141, 159, 282, 318, 2491, 4982, 7473

Step-4: Factors of 14965

List of positive integer factors of 14965 that divides 14946 without a remainder.

1, 5, 41, 73, 205, 365, 2993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14946 and 14965. The biggest common factor number is the GCF number.
So the greatest common factor 14946 and 14965 is 1.

Also check out the Least Common Multiple of 14946 and 14965