What is the Greatest Common Factor of 88023 and 88036?

Greatest common factor (GCF) of 88023 and 88036 is 13.

GCF(88023,88036) = 13

We will now calculate the prime factors of 88023 and 88036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88023 and 88036.

How to find the GCF of 88023 and 88036?

We will first find the prime factorization of 88023 and 88036. After we will calculate the factors of 88023 and 88036 and find the biggest common factor number .

Step-1: Prime Factorization of 88023

Prime factors of 88023 are 3, 13, 37, 61. Prime factorization of 88023 in exponential form is:

88023 = 3¹ × 13¹ × 37¹ × 61¹

Step-2: Prime Factorization of 88036

Prime factors of 88036 are 2, 13, 1693. Prime factorization of 88036 in exponential form is:

88036 = 2² × 13¹ × 1693¹

Step-3: Factors of 88023

List of positive integer factors of 88023 that divides 88023 without a remainder.

1, 3, 13, 37, 39, 61, 111, 183, 481, 793, 1443, 2257, 2379, 6771, 29341

Step-4: Factors of 88036

List of positive integer factors of 88036 that divides 88023 without a remainder.

1, 2, 4, 13, 26, 52, 1693, 3386, 6772, 22009, 44018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88023 and 88036. The biggest common factor number is the GCF number.
So the greatest common factor 88023 and 88036 is 13.

Also check out the Least Common Multiple of 88023 and 88036