What is the Greatest Common Factor of 89808 and 89827?

Greatest common factor (GCF) of 89808 and 89827 is 1.

GCF(89808,89827) = 1

We will now calculate the prime factors of 89808 and 89827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89808 and 89827.

How to find the GCF of 89808 and 89827?

We will first find the prime factorization of 89808 and 89827. After we will calculate the factors of 89808 and 89827 and find the biggest common factor number .

Step-1: Prime Factorization of 89808

Prime factors of 89808 are 2, 3, 1871. Prime factorization of 89808 in exponential form is:

89808 = 2⁴ × 3¹ × 1871¹

Step-2: Prime Factorization of 89827

Prime factors of 89827 are 43, 2089. Prime factorization of 89827 in exponential form is:

89827 = 43¹ × 2089¹

Step-3: Factors of 89808

List of positive integer factors of 89808 that divides 89808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1871, 3742, 5613, 7484, 11226, 14968, 22452, 29936, 44904

Step-4: Factors of 89827

List of positive integer factors of 89827 that divides 89808 without a remainder.

1, 43, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89808 and 89827. The biggest common factor number is the GCF number.
So the greatest common factor 89808 and 89827 is 1.

Also check out the Least Common Multiple of 89808 and 89827