What is the Greatest Common Factor of 84801 and 84807?

Greatest common factor (GCF) of 84801 and 84807 is 3.

GCF(84801,84807) = 3

We will now calculate the prime factors of 84801 and 84807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84801 and 84807.

How to find the GCF of 84801 and 84807?

We will first find the prime factorization of 84801 and 84807. After we will calculate the factors of 84801 and 84807 and find the biggest common factor number .

Step-1: Prime Factorization of 84801

Prime factors of 84801 are 3, 23, 1229. Prime factorization of 84801 in exponential form is:

84801 = 3¹ × 23¹ × 1229¹

Step-2: Prime Factorization of 84807

Prime factors of 84807 are 3, 349. Prime factorization of 84807 in exponential form is:

84807 = 3⁵ × 349¹

Step-3: Factors of 84801

List of positive integer factors of 84801 that divides 84801 without a remainder.

1, 3, 23, 69, 1229, 3687, 28267

Step-4: Factors of 84807

List of positive integer factors of 84807 that divides 84801 without a remainder.

1, 3, 9, 27, 81, 243, 349, 1047, 3141, 9423, 28269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84801 and 84807. The biggest common factor number is the GCF number.
So the greatest common factor 84801 and 84807 is 3.

Also check out the Least Common Multiple of 84801 and 84807