What is the Greatest Common Factor of 89167 and 89185?

Greatest common factor (GCF) of 89167 and 89185 is 1.

GCF(89167,89185) = 1

We will now calculate the prime factors of 89167 and 89185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89167 and 89185.

How to find the GCF of 89167 and 89185?

We will first find the prime factorization of 89167 and 89185. After we will calculate the factors of 89167 and 89185 and find the biggest common factor number .

Step-1: Prime Factorization of 89167

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

89167 = 13¹ × 19³

Step-2: Prime Factorization of 89185

Prime factors of 89185 are 5, 17837. Prime factorization of 89185 in exponential form is:

89185 = 5¹ × 17837¹

Step-3: Factors of 89167

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

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

Step-4: Factors of 89185

List of positive integer factors of 89185 that divides 89167 without a remainder.

1, 5, 17837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89167 and 89185. The biggest common factor number is the GCF number.
So the greatest common factor 89167 and 89185 is 1.

Also check out the Least Common Multiple of 89167 and 89185