What is the Greatest Common Factor of 89826 and 89837?

Greatest common factor (GCF) of 89826 and 89837 is 11.

GCF(89826,89837) = 11

We will now calculate the prime factors of 89826 and 89837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89826 and 89837.

How to find the GCF of 89826 and 89837?

We will first find the prime factorization of 89826 and 89837. After we will calculate the factors of 89826 and 89837 and find the biggest common factor number .

Step-1: Prime Factorization of 89826

Prime factors of 89826 are 2, 3, 11, 1361. Prime factorization of 89826 in exponential form is:

89826 = 2¹ × 3¹ × 11¹ × 1361¹

Step-2: Prime Factorization of 89837

Prime factors of 89837 are 11, 8167. Prime factorization of 89837 in exponential form is:

89837 = 11¹ × 8167¹

Step-3: Factors of 89826

List of positive integer factors of 89826 that divides 89826 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1361, 2722, 4083, 8166, 14971, 29942, 44913

Step-4: Factors of 89837

List of positive integer factors of 89837 that divides 89826 without a remainder.

1, 11, 8167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89826 and 89837. The biggest common factor number is the GCF number.
So the greatest common factor 89826 and 89837 is 11.

Also check out the Least Common Multiple of 89826 and 89837