What is the Greatest Common Factor of 89791 and 89804?

Greatest common factor (GCF) of 89791 and 89804 is 13.

GCF(89791,89804) = 13

We will now calculate the prime factors of 89791 and 89804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89791 and 89804.

How to find the GCF of 89791 and 89804?

We will first find the prime factorization of 89791 and 89804. After we will calculate the factors of 89791 and 89804 and find the biggest common factor number .

Step-1: Prime Factorization of 89791

Prime factors of 89791 are 13, 6907. Prime factorization of 89791 in exponential form is:

89791 = 13¹ × 6907¹

Step-2: Prime Factorization of 89804

Prime factors of 89804 are 2, 11, 13, 157. Prime factorization of 89804 in exponential form is:

89804 = 2² × 11¹ × 13¹ × 157¹

Step-3: Factors of 89791

List of positive integer factors of 89791 that divides 89791 without a remainder.

1, 13, 6907

Step-4: Factors of 89804

List of positive integer factors of 89804 that divides 89791 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 157, 286, 314, 572, 628, 1727, 2041, 3454, 4082, 6908, 8164, 22451, 44902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89791 and 89804. The biggest common factor number is the GCF number.
So the greatest common factor 89791 and 89804 is 13.

Also check out the Least Common Multiple of 89791 and 89804