What is the Greatest Common Factor of 89835 and 89844?

Greatest common factor (GCF) of 89835 and 89844 is 3.

GCF(89835,89844) = 3

We will now calculate the prime factors of 89835 and 89844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89835 and 89844.

How to find the GCF of 89835 and 89844?

We will first find the prime factorization of 89835 and 89844. After we will calculate the factors of 89835 and 89844 and find the biggest common factor number .

Step-1: Prime Factorization of 89835

Prime factors of 89835 are 3, 5, 53, 113. Prime factorization of 89835 in exponential form is:

89835 = 3¹ × 5¹ × 53¹ × 113¹

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 89835

List of positive integer factors of 89835 that divides 89835 without a remainder.

1, 3, 5, 15, 53, 113, 159, 265, 339, 565, 795, 1695, 5989, 17967, 29945

Step-4: Factors of 89844

List of positive integer factors of 89844 that divides 89835 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 89835 and 89844. The biggest common factor number is the GCF number.
So the greatest common factor 89835 and 89844 is 3.

Also check out the Least Common Multiple of 89835 and 89844