What is the Greatest Common Factor of 84098 and 84106?

Greatest common factor (GCF) of 84098 and 84106 is 2.

GCF(84098,84106) = 2

We will now calculate the prime factors of 84098 and 84106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84098 and 84106.

How to find the GCF of 84098 and 84106?

We will first find the prime factorization of 84098 and 84106. After we will calculate the factors of 84098 and 84106 and find the biggest common factor number .

Step-1: Prime Factorization of 84098

Prime factors of 84098 are 2, 7, 6007. Prime factorization of 84098 in exponential form is:

84098 = 2¹ × 7¹ × 6007¹

Step-2: Prime Factorization of 84106

Prime factors of 84106 are 2, 11, 3823. Prime factorization of 84106 in exponential form is:

84106 = 2¹ × 11¹ × 3823¹

Step-3: Factors of 84098

List of positive integer factors of 84098 that divides 84098 without a remainder.

1, 2, 7, 14, 6007, 12014, 42049

Step-4: Factors of 84106

List of positive integer factors of 84106 that divides 84098 without a remainder.

1, 2, 11, 22, 3823, 7646, 42053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84098 and 84106. The biggest common factor number is the GCF number.
So the greatest common factor 84098 and 84106 is 2.

Also check out the Least Common Multiple of 84098 and 84106