What is the Greatest Common Factor of 89142 and 89150?

Greatest common factor (GCF) of 89142 and 89150 is 2.

GCF(89142,89150) = 2

We will now calculate the prime factors of 89142 and 89150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89142 and 89150.

How to find the GCF of 89142 and 89150?

We will first find the prime factorization of 89142 and 89150. After we will calculate the factors of 89142 and 89150 and find the biggest common factor number .

Step-1: Prime Factorization of 89142

Prime factors of 89142 are 2, 3, 83, 179. Prime factorization of 89142 in exponential form is:

89142 = 2¹ × 3¹ × 83¹ × 179¹

Step-2: 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-3: Factors of 89142

List of positive integer factors of 89142 that divides 89142 without a remainder.

1, 2, 3, 6, 83, 166, 179, 249, 358, 498, 537, 1074, 14857, 29714, 44571

Step-4: Factors of 89150

List of positive integer factors of 89150 that divides 89142 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89142 and 89150. The biggest common factor number is the GCF number.
So the greatest common factor 89142 and 89150 is 2.

Also check out the Least Common Multiple of 89142 and 89150