What is the Greatest Common Factor of 35484 and 35493?

Greatest common factor (GCF) of 35484 and 35493 is 3.

GCF(35484,35493) = 3

We will now calculate the prime factors of 35484 and 35493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35484 and 35493.

How to find the GCF of 35484 and 35493?

We will first find the prime factorization of 35484 and 35493. After we will calculate the factors of 35484 and 35493 and find the biggest common factor number .

Step-1: Prime Factorization of 35484

Prime factors of 35484 are 2, 3, 2957. Prime factorization of 35484 in exponential form is:

35484 = 2² × 3¹ × 2957¹

Step-2: Prime Factorization of 35493

Prime factors of 35493 are 3, 11831. Prime factorization of 35493 in exponential form is:

35493 = 3¹ × 11831¹

Step-3: Factors of 35484

List of positive integer factors of 35484 that divides 35484 without a remainder.

1, 2, 3, 4, 6, 12, 2957, 5914, 8871, 11828, 17742

Step-4: Factors of 35493

List of positive integer factors of 35493 that divides 35484 without a remainder.

1, 3, 11831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35484 and 35493. The biggest common factor number is the GCF number.
So the greatest common factor 35484 and 35493 is 3.

Also check out the Least Common Multiple of 35484 and 35493