What is the Greatest Common Factor of 89150 and 89167?

Greatest common factor (GCF) of 89150 and 89167 is 1.

GCF(89150,89167) = 1

We will now calculate the prime factors of 89150 and 89167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89150 and 89167.

How to find the GCF of 89150 and 89167?

We will first find the prime factorization of 89150 and 89167. After we will calculate the factors of 89150 and 89167 and find the biggest common factor number .

Step-1: Prime Factorization of 89150

Prime factors of 89150 are 2, 5, 1783. Prime factorization of 89150 in exponential form is:

89150 = 2¹ × 5² × 1783¹

Step-2: Prime Factorization of 89167

Prime factors of 89167 are 13, 19. Prime factorization of 89167 in exponential form is:

89167 = 13¹ × 19³

Step-3: Factors of 89150

List of positive integer factors of 89150 that divides 89150 without a remainder.

1, 2, 5, 10, 25, 50, 1783, 3566, 8915, 17830, 44575

Step-4: Factors of 89167

List of positive integer factors of 89167 that divides 89150 without a remainder.

1, 13, 19, 247, 361, 4693, 6859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89150 and 89167. The biggest common factor number is the GCF number.
So the greatest common factor 89150 and 89167 is 1.

Also check out the Least Common Multiple of 89150 and 89167