What is the Greatest Common Factor of 88004 and 88016?

Greatest common factor (GCF) of 88004 and 88016 is 4.

GCF(88004,88016) = 4

We will now calculate the prime factors of 88004 and 88016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88004 and 88016.

How to find the GCF of 88004 and 88016?

We will first find the prime factorization of 88004 and 88016. After we will calculate the factors of 88004 and 88016 and find the biggest common factor number .

Step-1: Prime Factorization of 88004

Prime factors of 88004 are 2, 7, 449. Prime factorization of 88004 in exponential form is:

88004 = 2² × 7² × 449¹

Step-2: Prime Factorization of 88016

Prime factors of 88016 are 2, 5501. Prime factorization of 88016 in exponential form is:

88016 = 2⁴ × 5501¹

Step-3: Factors of 88004

List of positive integer factors of 88004 that divides 88004 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 449, 898, 1796, 3143, 6286, 12572, 22001, 44002

Step-4: Factors of 88016

List of positive integer factors of 88016 that divides 88004 without a remainder.

1, 2, 4, 8, 16, 5501, 11002, 22004, 44008

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88004 and 88016. The biggest common factor number is the GCF number.
So the greatest common factor 88004 and 88016 is 4.

Also check out the Least Common Multiple of 88004 and 88016