What is the Greatest Common Factor of 84623 and 84637?

Greatest common factor (GCF) of 84623 and 84637 is 7.

GCF(84623,84637) = 7

We will now calculate the prime factors of 84623 and 84637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84623 and 84637.

How to find the GCF of 84623 and 84637?

We will first find the prime factorization of 84623 and 84637. After we will calculate the factors of 84623 and 84637 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 84637

Prime factors of 84637 are 7, 107, 113. Prime factorization of 84637 in exponential form is:

84637 = 7¹ × 107¹ × 113¹

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 84637

List of positive integer factors of 84637 that divides 84623 without a remainder.

1, 7, 107, 113, 749, 791, 12091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84623 and 84637. The biggest common factor number is the GCF number.
So the greatest common factor 84623 and 84637 is 7.

Also check out the Least Common Multiple of 84623 and 84637