What is the Greatest Common Factor of 89144 and 89164?

Greatest common factor (GCF) of 89144 and 89164 is 4.

GCF(89144,89164) = 4

We will now calculate the prime factors of 89144 and 89164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89144 and 89164.

How to find the GCF of 89144 and 89164?

We will first find the prime factorization of 89144 and 89164. After we will calculate the factors of 89144 and 89164 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 89164

Prime factors of 89164 are 2, 22291. Prime factorization of 89164 in exponential form is:

89164 = 2² × 22291¹

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 89164

List of positive integer factors of 89164 that divides 89144 without a remainder.

1, 2, 4, 22291, 44582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89144 and 89164. The biggest common factor number is the GCF number.
So the greatest common factor 89144 and 89164 is 4.

Also check out the Least Common Multiple of 89144 and 89164