What is the Greatest Common Factor of 89826 and 89844?

Greatest common factor (GCF) of 89826 and 89844 is 6.

GCF(89826,89844) = 6

We will now calculate the prime factors of 89826 and 89844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89826 and 89844.

How to find the GCF of 89826 and 89844?

We will first find the prime factorization of 89826 and 89844. After we will calculate the factors of 89826 and 89844 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 89844

Prime factors of 89844 are 2, 3, 7487. Prime factorization of 89844 in exponential form is:

89844 = 2² × 3¹ × 7487¹

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 89844

List of positive integer factors of 89844 that divides 89826 without a remainder.

1, 2, 3, 4, 6, 12, 7487, 14974, 22461, 29948, 44922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89826 and 89844. The biggest common factor number is the GCF number.
So the greatest common factor 89826 and 89844 is 6.

Also check out the Least Common Multiple of 89826 and 89844