What is the Greatest Common Factor of 81816 and 81833?

Greatest common factor (GCF) of 81816 and 81833 is 1.

GCF(81816,81833) = 1

We will now calculate the prime factors of 81816 and 81833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81816 and 81833.

How to find the GCF of 81816 and 81833?

We will first find the prime factorization of 81816 and 81833. After we will calculate the factors of 81816 and 81833 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 81833

Prime factors of 81833 are 19, 59, 73. Prime factorization of 81833 in exponential form is:

81833 = 19¹ × 59¹ × 73¹

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 81833

List of positive integer factors of 81833 that divides 81816 without a remainder.

1, 19, 59, 73, 1121, 1387, 4307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81816 and 81833. The biggest common factor number is the GCF number.
So the greatest common factor 81816 and 81833 is 1.

Also check out the Least Common Multiple of 81816 and 81833