What is the Greatest Common Factor of 89845 and 89859?

Greatest common factor (GCF) of 89845 and 89859 is 7.

GCF(89845,89859) = 7

We will now calculate the prime factors of 89845 and 89859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89845 and 89859.

How to find the GCF of 89845 and 89859?

We will first find the prime factorization of 89845 and 89859. After we will calculate the factors of 89845 and 89859 and find the biggest common factor number .

Step-1: Prime Factorization of 89845

Prime factors of 89845 are 5, 7, 17, 151. Prime factorization of 89845 in exponential form is:

89845 = 5¹ × 7¹ × 17¹ × 151¹

Step-2: Prime Factorization of 89859

Prime factors of 89859 are 3, 7, 11, 389. Prime factorization of 89859 in exponential form is:

89859 = 3¹ × 7¹ × 11¹ × 389¹

Step-3: Factors of 89845

List of positive integer factors of 89845 that divides 89845 without a remainder.

1, 5, 7, 17, 35, 85, 119, 151, 595, 755, 1057, 2567, 5285, 12835, 17969

Step-4: Factors of 89859

List of positive integer factors of 89859 that divides 89845 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 389, 1167, 2723, 4279, 8169, 12837, 29953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89845 and 89859. The biggest common factor number is the GCF number.
So the greatest common factor 89845 and 89859 is 7.

Also check out the Least Common Multiple of 89845 and 89859