What is the Greatest Common Factor of 84814 and 84828?

Greatest common factor (GCF) of 84814 and 84828 is 2.

GCF(84814,84828) = 2

We will now calculate the prime factors of 84814 and 84828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84814 and 84828.

How to find the GCF of 84814 and 84828?

We will first find the prime factorization of 84814 and 84828. After we will calculate the factors of 84814 and 84828 and find the biggest common factor number .

Step-1: Prime Factorization of 84814

Prime factors of 84814 are 2, 42407. Prime factorization of 84814 in exponential form is:

84814 = 2¹ × 42407¹

Step-2: Prime Factorization of 84828

Prime factors of 84828 are 2, 3, 7069. Prime factorization of 84828 in exponential form is:

84828 = 2² × 3¹ × 7069¹

Step-3: Factors of 84814

List of positive integer factors of 84814 that divides 84814 without a remainder.

1, 2, 42407

Step-4: Factors of 84828

List of positive integer factors of 84828 that divides 84814 without a remainder.

1, 2, 3, 4, 6, 12, 7069, 14138, 21207, 28276, 42414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84814 and 84828. The biggest common factor number is the GCF number.
So the greatest common factor 84814 and 84828 is 2.

Also check out the Least Common Multiple of 84814 and 84828