What is the Greatest Common Factor of 84840 and 84849?

Greatest common factor (GCF) of 84840 and 84849 is 3.

GCF(84840,84849) = 3

We will now calculate the prime factors of 84840 and 84849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84840 and 84849.

How to find the GCF of 84840 and 84849?

We will first find the prime factorization of 84840 and 84849. After we will calculate the factors of 84840 and 84849 and find the biggest common factor number .

Step-1: Prime Factorization of 84840

Prime factors of 84840 are 2, 3, 5, 7, 101. Prime factorization of 84840 in exponential form is:

84840 = 2³ × 3¹ × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 84849

Prime factors of 84849 are 3, 28283. Prime factorization of 84849 in exponential form is:

84849 = 3¹ × 28283¹

Step-3: Factors of 84840

List of positive integer factors of 84840 that divides 84840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 101, 105, 120, 140, 168, 202, 210, 280, 303, 404, 420, 505, 606, 707, 808, 840, 1010, 1212, 1414, 1515, 2020, 2121, 2424, 2828, 3030, 3535, 4040, 4242, 5656, 6060, 7070, 8484, 10605, 12120, 14140, 16968, 21210, 28280, 42420

Step-4: Factors of 84849

List of positive integer factors of 84849 that divides 84840 without a remainder.

1, 3, 28283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84840 and 84849. The biggest common factor number is the GCF number.
So the greatest common factor 84840 and 84849 is 3.

Also check out the Least Common Multiple of 84840 and 84849