What is the Greatest Common Factor of 81816 and 81826?

Greatest common factor (GCF) of 81816 and 81826 is 2.

GCF(81816,81826) = 2

We will now calculate the prime factors of 81816 and 81826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81816 and 81826.

How to find the GCF of 81816 and 81826?

We will first find the prime factorization of 81816 and 81826. After we will calculate the factors of 81816 and 81826 and find the biggest common factor number .

Step-1: Prime Factorization of 81816

Prime factors of 81816 are 2, 3, 7, 487. Prime factorization of 81816 in exponential form is:

81816 = 2³ × 3¹ × 7¹ × 487¹

Step-2: Prime Factorization of 81826

Prime factors of 81826 are 2, 163, 251. Prime factorization of 81826 in exponential form is:

81826 = 2¹ × 163¹ × 251¹

Step-3: Factors of 81816

List of positive integer factors of 81816 that divides 81816 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 487, 974, 1461, 1948, 2922, 3409, 3896, 5844, 6818, 10227, 11688, 13636, 20454, 27272, 40908

Step-4: Factors of 81826

List of positive integer factors of 81826 that divides 81816 without a remainder.

1, 2, 163, 251, 326, 502, 40913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81816 and 81826. The biggest common factor number is the GCF number.
So the greatest common factor 81816 and 81826 is 2.

Also check out the Least Common Multiple of 81816 and 81826