What is the Greatest Common Factor of 34494 and 34499?

Greatest common factor (GCF) of 34494 and 34499 is 1.

GCF(34494,34499) = 1

We will now calculate the prime factors of 34494 and 34499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34494 and 34499.

How to find the GCF of 34494 and 34499?

We will first find the prime factorization of 34494 and 34499. After we will calculate the factors of 34494 and 34499 and find the biggest common factor number .

Step-1: Prime Factorization of 34494

Prime factors of 34494 are 2, 3, 5749. Prime factorization of 34494 in exponential form is:

34494 = 2¹ × 3¹ × 5749¹

Step-2: Prime Factorization of 34499

Prime factors of 34499 are 34499. Prime factorization of 34499 in exponential form is:

34499 = 34499¹

Step-3: Factors of 34494

List of positive integer factors of 34494 that divides 34494 without a remainder.

1, 2, 3, 6, 5749, 11498, 17247

Step-4: Factors of 34499

List of positive integer factors of 34499 that divides 34494 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34494 and 34499. The biggest common factor number is the GCF number.
So the greatest common factor 34494 and 34499 is 1.

Also check out the Least Common Multiple of 34494 and 34499