What is the Greatest Common Factor of 84844 and 84858?

Greatest common factor (GCF) of 84844 and 84858 is 2.

GCF(84844,84858) = 2

We will now calculate the prime factors of 84844 and 84858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84844 and 84858.

How to find the GCF of 84844 and 84858?

We will first find the prime factorization of 84844 and 84858. After we will calculate the factors of 84844 and 84858 and find the biggest common factor number .

Step-1: Prime Factorization of 84844

Prime factors of 84844 are 2, 21211. Prime factorization of 84844 in exponential form is:

84844 = 2² × 21211¹

Step-2: Prime Factorization of 84858

Prime factors of 84858 are 2, 3, 14143. Prime factorization of 84858 in exponential form is:

84858 = 2¹ × 3¹ × 14143¹

Step-3: Factors of 84844

List of positive integer factors of 84844 that divides 84844 without a remainder.

1, 2, 4, 21211, 42422

Step-4: Factors of 84858

List of positive integer factors of 84858 that divides 84844 without a remainder.

1, 2, 3, 6, 14143, 28286, 42429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84844 and 84858. The biggest common factor number is the GCF number.
So the greatest common factor 84844 and 84858 is 2.

Also check out the Least Common Multiple of 84844 and 84858