What is the Greatest Common Factor of 84623 and 84634?

Greatest common factor (GCF) of 84623 and 84634 is 11.

GCF(84623,84634) = 11

We will now calculate the prime factors of 84623 and 84634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84623 and 84634.

How to find the GCF of 84623 and 84634?

We will first find the prime factorization of 84623 and 84634. After we will calculate the factors of 84623 and 84634 and find the biggest common factor number .

Step-1: Prime Factorization of 84623

Prime factors of 84623 are 7, 11, 157. Prime factorization of 84623 in exponential form is:

84623 = 7² × 11¹ × 157¹

Step-2: Prime Factorization of 84634

Prime factors of 84634 are 2, 11, 3847. Prime factorization of 84634 in exponential form is:

84634 = 2¹ × 11¹ × 3847¹

Step-3: Factors of 84623

List of positive integer factors of 84623 that divides 84623 without a remainder.

1, 7, 11, 49, 77, 157, 539, 1099, 1727, 7693, 12089

Step-4: Factors of 84634

List of positive integer factors of 84634 that divides 84623 without a remainder.

1, 2, 11, 22, 3847, 7694, 42317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84623 and 84634. The biggest common factor number is the GCF number.
So the greatest common factor 84623 and 84634 is 11.

Also check out the Least Common Multiple of 84623 and 84634