What is the Greatest Common Factor of 89144 and 89155?

Greatest common factor (GCF) of 89144 and 89155 is 11.

GCF(89144,89155) = 11

We will now calculate the prime factors of 89144 and 89155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89144 and 89155.

How to find the GCF of 89144 and 89155?

We will first find the prime factorization of 89144 and 89155. After we will calculate the factors of 89144 and 89155 and find the biggest common factor number .

Step-1: Prime Factorization of 89144

Prime factors of 89144 are 2, 11, 1013. Prime factorization of 89144 in exponential form is:

89144 = 2³ × 11¹ × 1013¹

Step-2: Prime Factorization of 89155

Prime factors of 89155 are 5, 11, 1621. Prime factorization of 89155 in exponential form is:

89155 = 5¹ × 11¹ × 1621¹

Step-3: Factors of 89144

List of positive integer factors of 89144 that divides 89144 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 1013, 2026, 4052, 8104, 11143, 22286, 44572

Step-4: Factors of 89155

List of positive integer factors of 89155 that divides 89144 without a remainder.

1, 5, 11, 55, 1621, 8105, 17831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89144 and 89155. The biggest common factor number is the GCF number.
So the greatest common factor 89144 and 89155 is 11.

Also check out the Least Common Multiple of 89144 and 89155