What is the Greatest Common Factor of 81940 and 81959?

Greatest common factor (GCF) of 81940 and 81959 is 1.

GCF(81940,81959) = 1

We will now calculate the prime factors of 81940 and 81959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81940 and 81959.

How to find the GCF of 81940 and 81959?

We will first find the prime factorization of 81940 and 81959. After we will calculate the factors of 81940 and 81959 and find the biggest common factor number .

Step-1: Prime Factorization of 81940

Prime factors of 81940 are 2, 5, 17, 241. Prime factorization of 81940 in exponential form is:

81940 = 2² × 5¹ × 17¹ × 241¹

Step-2: Prime Factorization of 81959

Prime factors of 81959 are 41, 1999. Prime factorization of 81959 in exponential form is:

81959 = 41¹ × 1999¹

Step-3: Factors of 81940

List of positive integer factors of 81940 that divides 81940 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 241, 340, 482, 964, 1205, 2410, 4097, 4820, 8194, 16388, 20485, 40970

Step-4: Factors of 81959

List of positive integer factors of 81959 that divides 81940 without a remainder.

1, 41, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81940 and 81959. The biggest common factor number is the GCF number.
So the greatest common factor 81940 and 81959 is 1.

Also check out the Least Common Multiple of 81940 and 81959