What is the Greatest Common Factor of 81808 and 81814?

Greatest common factor (GCF) of 81808 and 81814 is 2.

GCF(81808,81814) = 2

We will now calculate the prime factors of 81808 and 81814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81808 and 81814.

How to find the GCF of 81808 and 81814?

We will first find the prime factorization of 81808 and 81814. After we will calculate the factors of 81808 and 81814 and find the biggest common factor number .

Step-1: Prime Factorization of 81808

Prime factors of 81808 are 2, 5113. Prime factorization of 81808 in exponential form is:

81808 = 2⁴ × 5113¹

Step-2: Prime Factorization of 81814

Prime factors of 81814 are 2, 19, 2153. Prime factorization of 81814 in exponential form is:

81814 = 2¹ × 19¹ × 2153¹

Step-3: Factors of 81808

List of positive integer factors of 81808 that divides 81808 without a remainder.

1, 2, 4, 8, 16, 5113, 10226, 20452, 40904

Step-4: Factors of 81814

List of positive integer factors of 81814 that divides 81808 without a remainder.

1, 2, 19, 38, 2153, 4306, 40907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81808 and 81814. The biggest common factor number is the GCF number.
So the greatest common factor 81808 and 81814 is 2.

Also check out the Least Common Multiple of 81808 and 81814