What is the Greatest Common Factor of 84095 and 84106?

Greatest common factor (GCF) of 84095 and 84106 is 11.

GCF(84095,84106) = 11

We will now calculate the prime factors of 84095 and 84106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84095 and 84106.

How to find the GCF of 84095 and 84106?

We will first find the prime factorization of 84095 and 84106. After we will calculate the factors of 84095 and 84106 and find the biggest common factor number .

Step-1: Prime Factorization of 84095

Prime factors of 84095 are 5, 11, 139. Prime factorization of 84095 in exponential form is:

84095 = 5¹ × 11² × 139¹

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 84095

List of positive integer factors of 84095 that divides 84095 without a remainder.

1, 5, 11, 55, 121, 139, 605, 695, 1529, 7645, 16819

Step-4: Factors of 84106

List of positive integer factors of 84106 that divides 84095 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84095 and 84106. The biggest common factor number is the GCF number.
So the greatest common factor 84095 and 84106 is 11.

Also check out the Least Common Multiple of 84095 and 84106