What is the Greatest Common Factor of 88809 and 88827?

Greatest common factor (GCF) of 88809 and 88827 is 3.

GCF(88809,88827) = 3

We will now calculate the prime factors of 88809 and 88827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88809 and 88827.

How to find the GCF of 88809 and 88827?

We will first find the prime factorization of 88809 and 88827. After we will calculate the factors of 88809 and 88827 and find the biggest common factor number .

Step-1: Prime Factorization of 88809

Prime factors of 88809 are 3, 7, 4229. Prime factorization of 88809 in exponential form is:

88809 = 3¹ × 7¹ × 4229¹

Step-2: Prime Factorization of 88827

Prime factors of 88827 are 3, 29, 1021. Prime factorization of 88827 in exponential form is:

88827 = 3¹ × 29¹ × 1021¹

Step-3: Factors of 88809

List of positive integer factors of 88809 that divides 88809 without a remainder.

1, 3, 7, 21, 4229, 12687, 29603

Step-4: Factors of 88827

List of positive integer factors of 88827 that divides 88809 without a remainder.

1, 3, 29, 87, 1021, 3063, 29609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88809 and 88827. The biggest common factor number is the GCF number.
So the greatest common factor 88809 and 88827 is 3.

Also check out the Least Common Multiple of 88809 and 88827