What is the Greatest Common Factor of 8484 and 8498?

Greatest common factor (GCF) of 8484 and 8498 is 14.

GCF(8484,8498) = 14

We will now calculate the prime factors of 8484 and 8498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8484 and 8498.

How to find the GCF of 8484 and 8498?

We will first find the prime factorization of 8484 and 8498. After we will calculate the factors of 8484 and 8498 and find the biggest common factor number .

Step-1: Prime Factorization of 8484

Prime factors of 8484 are 2, 3, 7, 101. Prime factorization of 8484 in exponential form is:

8484 = 2² × 3¹ × 7¹ × 101¹

Step-2: Prime Factorization of 8498

Prime factors of 8498 are 2, 7, 607. Prime factorization of 8498 in exponential form is:

8498 = 2¹ × 7¹ × 607¹

Step-3: Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242

Step-4: Factors of 8498

List of positive integer factors of 8498 that divides 8484 without a remainder.

1, 2, 7, 14, 607, 1214, 4249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8484 and 8498. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8498 is 14.

Also check out the Least Common Multiple of 8484 and 8498