What is the Greatest Common Factor of 89825 and 89837?

Greatest common factor (GCF) of 89825 and 89837 is 1.

GCF(89825,89837) = 1

We will now calculate the prime factors of 89825 and 89837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89825 and 89837.

How to find the GCF of 89825 and 89837?

We will first find the prime factorization of 89825 and 89837. After we will calculate the factors of 89825 and 89837 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 89837

Prime factors of 89837 are 11, 8167. Prime factorization of 89837 in exponential form is:

89837 = 11¹ × 8167¹

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 89837

List of positive integer factors of 89837 that divides 89825 without a remainder.

1, 11, 8167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89825 and 89837. The biggest common factor number is the GCF number.
So the greatest common factor 89825 and 89837 is 1.

Also check out the Least Common Multiple of 89825 and 89837