What is the Greatest Common Factor of 88809 and 88824?

Greatest common factor (GCF) of 88809 and 88824 is 3.

GCF(88809,88824) = 3

We will now calculate the prime factors of 88809 and 88824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88809 and 88824.

How to find the GCF of 88809 and 88824?

We will first find the prime factorization of 88809 and 88824. After we will calculate the factors of 88809 and 88824 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 88824

Prime factors of 88824 are 2, 3, 3701. Prime factorization of 88824 in exponential form is:

88824 = 2³ × 3¹ × 3701¹

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 88824

List of positive integer factors of 88824 that divides 88809 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3701, 7402, 11103, 14804, 22206, 29608, 44412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88809 and 88824. The biggest common factor number is the GCF number.
So the greatest common factor 88809 and 88824 is 3.

Also check out the Least Common Multiple of 88809 and 88824