What is the Greatest Common Factor of 81854 and 81874?

Greatest common factor (GCF) of 81854 and 81874 is 2.

GCF(81854,81874) = 2

We will now calculate the prime factors of 81854 and 81874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81854 and 81874.

How to find the GCF of 81854 and 81874?

We will first find the prime factorization of 81854 and 81874. After we will calculate the factors of 81854 and 81874 and find the biggest common factor number .

Step-1: Prime Factorization of 81854

Prime factors of 81854 are 2, 40927. Prime factorization of 81854 in exponential form is:

81854 = 2¹ × 40927¹

Step-2: Prime Factorization of 81874

Prime factors of 81874 are 2, 13, 47, 67. Prime factorization of 81874 in exponential form is:

81874 = 2¹ × 13¹ × 47¹ × 67¹

Step-3: Factors of 81854

List of positive integer factors of 81854 that divides 81854 without a remainder.

1, 2, 40927

Step-4: Factors of 81874

List of positive integer factors of 81874 that divides 81854 without a remainder.

1, 2, 13, 26, 47, 67, 94, 134, 611, 871, 1222, 1742, 3149, 6298, 40937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81854 and 81874. The biggest common factor number is the GCF number.
So the greatest common factor 81854 and 81874 is 2.

Also check out the Least Common Multiple of 81854 and 81874