What is the Greatest Common Factor of 89825 and 89831?

Greatest common factor (GCF) of 89825 and 89831 is 1.

GCF(89825,89831) = 1

We will now calculate the prime factors of 89825 and 89831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89825 and 89831.

How to find the GCF of 89825 and 89831?

We will first find the prime factorization of 89825 and 89831. After we will calculate the factors of 89825 and 89831 and find the biggest common factor number .

Step-1: Prime Factorization of 89825

Prime factors of 89825 are 5, 3593. Prime factorization of 89825 in exponential form is:

89825 = 5² × 3593¹

Step-2: 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-3: Factors of 89825

List of positive integer factors of 89825 that divides 89825 without a remainder.

1, 5, 25, 3593, 17965

Step-4: Factors of 89831

List of positive integer factors of 89831 that divides 89825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89825 and 89831. The biggest common factor number is the GCF number.
So the greatest common factor 89825 and 89831 is 1.

Also check out the Least Common Multiple of 89825 and 89831