What is the Greatest Common Factor of 14546 and 14565?

Greatest common factor (GCF) of 14546 and 14565 is 1.

GCF(14546,14565) = 1

We will now calculate the prime factors of 14546 and 14565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14546 and 14565.

How to find the GCF of 14546 and 14565?

We will first find the prime factorization of 14546 and 14565. After we will calculate the factors of 14546 and 14565 and find the biggest common factor number .

Step-1: Prime Factorization of 14546

Prime factors of 14546 are 2, 7, 1039. Prime factorization of 14546 in exponential form is:

14546 = 2¹ × 7¹ × 1039¹

Step-2: Prime Factorization of 14565

Prime factors of 14565 are 3, 5, 971. Prime factorization of 14565 in exponential form is:

14565 = 3¹ × 5¹ × 971¹

Step-3: Factors of 14546

List of positive integer factors of 14546 that divides 14546 without a remainder.

1, 2, 7, 14, 1039, 2078, 7273

Step-4: Factors of 14565

List of positive integer factors of 14565 that divides 14546 without a remainder.

1, 3, 5, 15, 971, 2913, 4855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14546 and 14565. The biggest common factor number is the GCF number.
So the greatest common factor 14546 and 14565 is 1.

Also check out the Least Common Multiple of 14546 and 14565