What is the Greatest Common Factor of 81890 and 81909?

Greatest common factor (GCF) of 81890 and 81909 is 19.

GCF(81890,81909) = 19

We will now calculate the prime factors of 81890 and 81909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81890 and 81909.

How to find the GCF of 81890 and 81909?

We will first find the prime factorization of 81890 and 81909. After we will calculate the factors of 81890 and 81909 and find the biggest common factor number .

Step-1: Prime Factorization of 81890

Prime factors of 81890 are 2, 5, 19, 431. Prime factorization of 81890 in exponential form is:

81890 = 2¹ × 5¹ × 19¹ × 431¹

Step-2: Prime Factorization of 81909

Prime factors of 81909 are 3, 19, 479. Prime factorization of 81909 in exponential form is:

81909 = 3² × 19¹ × 479¹

Step-3: Factors of 81890

List of positive integer factors of 81890 that divides 81890 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 431, 862, 2155, 4310, 8189, 16378, 40945

Step-4: Factors of 81909

List of positive integer factors of 81909 that divides 81890 without a remainder.

1, 3, 9, 19, 57, 171, 479, 1437, 4311, 9101, 27303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81890 and 81909. The biggest common factor number is the GCF number.
So the greatest common factor 81890 and 81909 is 19.

Also check out the Least Common Multiple of 81890 and 81909