What is the Greatest Common Factor of 8484 and 8489?

Greatest common factor (GCF) of 8484 and 8489 is 1.

GCF(8484,8489) = 1

We will now calculate the prime factors of 8484 and 8489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8484 and 8489.

How to find the GCF of 8484 and 8489?

We will first find the prime factorization of 8484 and 8489. After we will calculate the factors of 8484 and 8489 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 8489

Prime factors of 8489 are 13, 653. Prime factorization of 8489 in exponential form is:

8489 = 13¹ × 653¹

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 8489

List of positive integer factors of 8489 that divides 8484 without a remainder.

1, 13, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8484 and 8489. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8489 is 1.

Also check out the Least Common Multiple of 8484 and 8489