What is the Greatest Common Factor of 88836 and 88845?

Greatest common factor (GCF) of 88836 and 88845 is 3.

GCF(88836,88845) = 3

We will now calculate the prime factors of 88836 and 88845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88836 and 88845.

How to find the GCF of 88836 and 88845?

We will first find the prime factorization of 88836 and 88845. After we will calculate the factors of 88836 and 88845 and find the biggest common factor number .

Step-1: Prime Factorization of 88836

Prime factors of 88836 are 2, 3, 11, 673. Prime factorization of 88836 in exponential form is:

88836 = 2² × 3¹ × 11¹ × 673¹

Step-2: Prime Factorization of 88845

Prime factors of 88845 are 3, 5, 5923. Prime factorization of 88845 in exponential form is:

88845 = 3¹ × 5¹ × 5923¹

Step-3: Factors of 88836

List of positive integer factors of 88836 that divides 88836 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 673, 1346, 2019, 2692, 4038, 7403, 8076, 14806, 22209, 29612, 44418

Step-4: Factors of 88845

List of positive integer factors of 88845 that divides 88836 without a remainder.

1, 3, 5, 15, 5923, 17769, 29615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88836 and 88845. The biggest common factor number is the GCF number.
So the greatest common factor 88836 and 88845 is 3.

Also check out the Least Common Multiple of 88836 and 88845