What is the Greatest Common Factor of 89812 and 89816?

Greatest common factor (GCF) of 89812 and 89816 is 4.

GCF(89812,89816) = 4

We will now calculate the prime factors of 89812 and 89816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89812 and 89816.

How to find the GCF of 89812 and 89816?

We will first find the prime factorization of 89812 and 89816. After we will calculate the factors of 89812 and 89816 and find the biggest common factor number .

Step-1: Prime Factorization of 89812

Prime factors of 89812 are 2, 22453. Prime factorization of 89812 in exponential form is:

89812 = 2² × 22453¹

Step-2: Prime Factorization of 89816

Prime factors of 89816 are 2, 103, 109. Prime factorization of 89816 in exponential form is:

89816 = 2³ × 103¹ × 109¹

Step-3: Factors of 89812

List of positive integer factors of 89812 that divides 89812 without a remainder.

1, 2, 4, 22453, 44906

Step-4: Factors of 89816

List of positive integer factors of 89816 that divides 89812 without a remainder.

1, 2, 4, 8, 103, 109, 206, 218, 412, 436, 824, 872, 11227, 22454, 44908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89812 and 89816. The biggest common factor number is the GCF number.
So the greatest common factor 89812 and 89816 is 4.

Also check out the Least Common Multiple of 89812 and 89816