What is the Greatest Common Factor of 81924 and 81931?

Greatest common factor (GCF) of 81924 and 81931 is 1.

GCF(81924,81931) = 1

We will now calculate the prime factors of 81924 and 81931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81924 and 81931.

How to find the GCF of 81924 and 81931?

We will first find the prime factorization of 81924 and 81931. After we will calculate the factors of 81924 and 81931 and find the biggest common factor number .

Step-1: Prime Factorization of 81924

Prime factors of 81924 are 2, 3, 6827. Prime factorization of 81924 in exponential form is:

81924 = 2² × 3¹ × 6827¹

Step-2: Prime Factorization of 81931

Prime factors of 81931 are 81931. Prime factorization of 81931 in exponential form is:

81931 = 81931¹

Step-3: Factors of 81924

List of positive integer factors of 81924 that divides 81924 without a remainder.

1, 2, 3, 4, 6, 12, 6827, 13654, 20481, 27308, 40962

Step-4: Factors of 81931

List of positive integer factors of 81931 that divides 81924 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81924 and 81931. The biggest common factor number is the GCF number.
So the greatest common factor 81924 and 81931 is 1.

Also check out the Least Common Multiple of 81924 and 81931