What is the Greatest Common Factor of 88804 and 88814?

Greatest common factor (GCF) of 88804 and 88814 is 2.

GCF(88804,88814) = 2

We will now calculate the prime factors of 88804 and 88814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88804 and 88814.

How to find the GCF of 88804 and 88814?

We will first find the prime factorization of 88804 and 88814. After we will calculate the factors of 88804 and 88814 and find the biggest common factor number .

Step-1: Prime Factorization of 88804

Prime factors of 88804 are 2, 149. Prime factorization of 88804 in exponential form is:

88804 = 2² × 149²

Step-2: Prime Factorization of 88814

Prime factors of 88814 are 2, 11, 367. Prime factorization of 88814 in exponential form is:

88814 = 2¹ × 11² × 367¹

Step-3: Factors of 88804

List of positive integer factors of 88804 that divides 88804 without a remainder.

1, 2, 4, 149, 298, 596, 22201, 44402

Step-4: Factors of 88814

List of positive integer factors of 88814 that divides 88804 without a remainder.

1, 2, 11, 22, 121, 242, 367, 734, 4037, 8074, 44407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88804 and 88814. The biggest common factor number is the GCF number.
So the greatest common factor 88804 and 88814 is 2.

Also check out the Least Common Multiple of 88804 and 88814