What is the Greatest Common Factor of 84492 and 84498?

Greatest common factor (GCF) of 84492 and 84498 is 6.

GCF(84492,84498) = 6

We will now calculate the prime factors of 84492 and 84498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84492 and 84498.

How to find the GCF of 84492 and 84498?

We will first find the prime factorization of 84492 and 84498. After we will calculate the factors of 84492 and 84498 and find the biggest common factor number .

Step-1: Prime Factorization of 84492

Prime factors of 84492 are 2, 3, 2347. Prime factorization of 84492 in exponential form is:

84492 = 2² × 3² × 2347¹

Step-2: Prime Factorization of 84498

Prime factors of 84498 are 2, 3, 14083. Prime factorization of 84498 in exponential form is:

84498 = 2¹ × 3¹ × 14083¹

Step-3: Factors of 84492

List of positive integer factors of 84492 that divides 84492 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2347, 4694, 7041, 9388, 14082, 21123, 28164, 42246

Step-4: Factors of 84498

List of positive integer factors of 84498 that divides 84492 without a remainder.

1, 2, 3, 6, 14083, 28166, 42249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84492 and 84498. The biggest common factor number is the GCF number.
So the greatest common factor 84492 and 84498 is 6.

Also check out the Least Common Multiple of 84492 and 84498