What is the Greatest Common Factor of 87993 and 88008?

Greatest common factor (GCF) of 87993 and 88008 is 3.

GCF(87993,88008) = 3

We will now calculate the prime factors of 87993 and 88008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87993 and 88008.

How to find the GCF of 87993 and 88008?

We will first find the prime factorization of 87993 and 88008. After we will calculate the factors of 87993 and 88008 and find the biggest common factor number .

Step-1: Prime Factorization of 87993

Prime factors of 87993 are 3, 3259. Prime factorization of 87993 in exponential form is:

87993 = 3³ × 3259¹

Step-2: Prime Factorization of 88008

Prime factors of 88008 are 2, 3, 19, 193. Prime factorization of 88008 in exponential form is:

88008 = 2³ × 3¹ × 19¹ × 193¹

Step-3: Factors of 87993

List of positive integer factors of 87993 that divides 87993 without a remainder.

1, 3, 9, 27, 3259, 9777, 29331

Step-4: Factors of 88008

List of positive integer factors of 88008 that divides 87993 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 193, 228, 386, 456, 579, 772, 1158, 1544, 2316, 3667, 4632, 7334, 11001, 14668, 22002, 29336, 44004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87993 and 88008. The biggest common factor number is the GCF number.
So the greatest common factor 87993 and 88008 is 3.

Also check out the Least Common Multiple of 87993 and 88008