What is the Greatest Common Factor of 84498 and 84514?

Greatest common factor (GCF) of 84498 and 84514 is 2.

GCF(84498,84514) = 2

We will now calculate the prime factors of 84498 and 84514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84498 and 84514.

How to find the GCF of 84498 and 84514?

We will first find the prime factorization of 84498 and 84514. After we will calculate the factors of 84498 and 84514 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84514

Prime factors of 84514 are 2, 42257. Prime factorization of 84514 in exponential form is:

84514 = 2¹ × 42257¹

Step-3: Factors of 84498

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

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

Step-4: Factors of 84514

List of positive integer factors of 84514 that divides 84498 without a remainder.

1, 2, 42257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84498 and 84514. The biggest common factor number is the GCF number.
So the greatest common factor 84498 and 84514 is 2.

Also check out the Least Common Multiple of 84498 and 84514