What is the Greatest Common Factor of 14658 and 14669?

Greatest common factor (GCF) of 14658 and 14669 is 1.

GCF(14658,14669) = 1

We will now calculate the prime factors of 14658 and 14669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14658 and 14669.

How to find the GCF of 14658 and 14669?

We will first find the prime factorization of 14658 and 14669. After we will calculate the factors of 14658 and 14669 and find the biggest common factor number .

Step-1: Prime Factorization of 14658

Prime factors of 14658 are 2, 3, 7, 349. Prime factorization of 14658 in exponential form is:

14658 = 2¹ × 3¹ × 7¹ × 349¹

Step-2: Prime Factorization of 14669

Prime factors of 14669 are 14669. Prime factorization of 14669 in exponential form is:

14669 = 14669¹

Step-3: Factors of 14658

List of positive integer factors of 14658 that divides 14658 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 349, 698, 1047, 2094, 2443, 4886, 7329

Step-4: Factors of 14669

List of positive integer factors of 14669 that divides 14658 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14658 and 14669. The biggest common factor number is the GCF number.
So the greatest common factor 14658 and 14669 is 1.

Also check out the Least Common Multiple of 14658 and 14669