What is the Greatest Common Factor of 14645 and 14665?

Greatest common factor (GCF) of 14645 and 14665 is 5.

GCF(14645,14665) = 5

We will now calculate the prime factors of 14645 and 14665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14645 and 14665.

How to find the GCF of 14645 and 14665?

We will first find the prime factorization of 14645 and 14665. After we will calculate the factors of 14645 and 14665 and find the biggest common factor number .

Step-1: Prime Factorization of 14645

Prime factors of 14645 are 5, 29, 101. Prime factorization of 14645 in exponential form is:

14645 = 5¹ × 29¹ × 101¹

Step-2: Prime Factorization of 14665

Prime factors of 14665 are 5, 7, 419. Prime factorization of 14665 in exponential form is:

14665 = 5¹ × 7¹ × 419¹

Step-3: Factors of 14645

List of positive integer factors of 14645 that divides 14645 without a remainder.

1, 5, 29, 101, 145, 505, 2929

Step-4: Factors of 14665

List of positive integer factors of 14665 that divides 14645 without a remainder.

1, 5, 7, 35, 419, 2095, 2933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14645 and 14665. The biggest common factor number is the GCF number.
So the greatest common factor 14645 and 14665 is 5.

Also check out the Least Common Multiple of 14645 and 14665