What is the Greatest Common Factor of 89831 and 89845?

Greatest common factor (GCF) of 89831 and 89845 is 7.

GCF(89831,89845) = 7

We will now calculate the prime factors of 89831 and 89845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89831 and 89845.

How to find the GCF of 89831 and 89845?

We will first find the prime factorization of 89831 and 89845. After we will calculate the factors of 89831 and 89845 and find the biggest common factor number .

Step-1: Prime Factorization of 89831

Prime factors of 89831 are 7, 41, 313. Prime factorization of 89831 in exponential form is:

89831 = 7¹ × 41¹ × 313¹

Step-2: 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-3: Factors of 89831

List of positive integer factors of 89831 that divides 89831 without a remainder.

1, 7, 41, 287, 313, 2191, 12833

Step-4: Factors of 89845

List of positive integer factors of 89845 that divides 89831 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89831 and 89845. The biggest common factor number is the GCF number.
So the greatest common factor 89831 and 89845 is 7.

Also check out the Least Common Multiple of 89831 and 89845