What is the Greatest Common Factor of 89168 and 89178?

Greatest common factor (GCF) of 89168 and 89178 is 2.

GCF(89168,89178) = 2

We will now calculate the prime factors of 89168 and 89178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89168 and 89178.

How to find the GCF of 89168 and 89178?

We will first find the prime factorization of 89168 and 89178. After we will calculate the factors of 89168 and 89178 and find the biggest common factor number .

Step-1: Prime Factorization of 89168

Prime factors of 89168 are 2, 5573. Prime factorization of 89168 in exponential form is:

89168 = 2⁴ × 5573¹

Step-2: Prime Factorization of 89178

Prime factors of 89178 are 2, 3, 89, 167. Prime factorization of 89178 in exponential form is:

89178 = 2¹ × 3¹ × 89¹ × 167¹

Step-3: Factors of 89168

List of positive integer factors of 89168 that divides 89168 without a remainder.

1, 2, 4, 8, 16, 5573, 11146, 22292, 44584

Step-4: Factors of 89178

List of positive integer factors of 89178 that divides 89168 without a remainder.

1, 2, 3, 6, 89, 167, 178, 267, 334, 501, 534, 1002, 14863, 29726, 44589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89168 and 89178. The biggest common factor number is the GCF number.
So the greatest common factor 89168 and 89178 is 2.

Also check out the Least Common Multiple of 89168 and 89178