What is the Greatest Common Factor of 88008 and 88014?

Greatest common factor (GCF) of 88008 and 88014 is 6.

GCF(88008,88014) = 6

We will now calculate the prime factors of 88008 and 88014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88008 and 88014.

How to find the GCF of 88008 and 88014?

We will first find the prime factorization of 88008 and 88014. After we will calculate the factors of 88008 and 88014 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88014

Prime factors of 88014 are 2, 3, 14669. Prime factorization of 88014 in exponential form is:

88014 = 2¹ × 3¹ × 14669¹

Step-3: Factors of 88008

List of positive integer factors of 88008 that divides 88008 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

Step-4: Factors of 88014

List of positive integer factors of 88014 that divides 88008 without a remainder.

1, 2, 3, 6, 14669, 29338, 44007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88008 and 88014. The biggest common factor number is the GCF number.
So the greatest common factor 88008 and 88014 is 6.

Also check out the Least Common Multiple of 88008 and 88014