What is the Greatest Common Factor of 83484 and 83498?

Greatest common factor (GCF) of 83484 and 83498 is 2.

GCF(83484,83498) = 2

We will now calculate the prime factors of 83484 and 83498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83484 and 83498.

How to find the GCF of 83484 and 83498?

We will first find the prime factorization of 83484 and 83498. After we will calculate the factors of 83484 and 83498 and find the biggest common factor number .

Step-1: Prime Factorization of 83484

Prime factors of 83484 are 2, 3, 773. Prime factorization of 83484 in exponential form is:

83484 = 2² × 3³ × 773¹

Step-2: Prime Factorization of 83498

Prime factors of 83498 are 2, 83, 503. Prime factorization of 83498 in exponential form is:

83498 = 2¹ × 83¹ × 503¹

Step-3: Factors of 83484

List of positive integer factors of 83484 that divides 83484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 773, 1546, 2319, 3092, 4638, 6957, 9276, 13914, 20871, 27828, 41742

Step-4: Factors of 83498

List of positive integer factors of 83498 that divides 83484 without a remainder.

1, 2, 83, 166, 503, 1006, 41749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83484 and 83498. The biggest common factor number is the GCF number.
So the greatest common factor 83484 and 83498 is 2.

Also check out the Least Common Multiple of 83484 and 83498