What is the Greatest Common Factor of 8484 and 8501?

Greatest common factor (GCF) of 8484 and 8501 is 1.

GCF(8484,8501) = 1

We will now calculate the prime factors of 8484 and 8501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8484 and 8501.

How to find the GCF of 8484 and 8501?

We will first find the prime factorization of 8484 and 8501. After we will calculate the factors of 8484 and 8501 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 8501

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 8501¹

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 8501

List of positive integer factors of 8501 that divides 8484 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8484 and 8501. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8501 is 1.

Also check out the Least Common Multiple of 8484 and 8501