What is the Greatest Common Factor of 32499 and 32514?

Greatest common factor (GCF) of 32499 and 32514 is 3.

GCF(32499,32514) = 3

We will now calculate the prime factors of 32499 and 32514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32499 and 32514.

How to find the GCF of 32499 and 32514?

We will first find the prime factorization of 32499 and 32514. After we will calculate the factors of 32499 and 32514 and find the biggest common factor number .

Step-1: Prime Factorization of 32499

Prime factors of 32499 are 3, 23, 157. Prime factorization of 32499 in exponential form is:

32499 = 3² × 23¹ × 157¹

Step-2: Prime Factorization of 32514

Prime factors of 32514 are 2, 3, 5419. Prime factorization of 32514 in exponential form is:

32514 = 2¹ × 3¹ × 5419¹

Step-3: Factors of 32499

List of positive integer factors of 32499 that divides 32499 without a remainder.

1, 3, 9, 23, 69, 157, 207, 471, 1413, 3611, 10833

Step-4: Factors of 32514

List of positive integer factors of 32514 that divides 32499 without a remainder.

1, 2, 3, 6, 5419, 10838, 16257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32499 and 32514. The biggest common factor number is the GCF number.
So the greatest common factor 32499 and 32514 is 3.

Also check out the Least Common Multiple of 32499 and 32514