What is the Greatest Common Factor of 81890 and 81908?

Greatest common factor (GCF) of 81890 and 81908 is 2.

GCF(81890,81908) = 2

We will now calculate the prime factors of 81890 and 81908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81890 and 81908.

How to find the GCF of 81890 and 81908?

We will first find the prime factorization of 81890 and 81908. After we will calculate the factors of 81890 and 81908 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 81908

Prime factors of 81908 are 2, 20477. Prime factorization of 81908 in exponential form is:

81908 = 2² × 20477¹

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 81908

List of positive integer factors of 81908 that divides 81890 without a remainder.

1, 2, 4, 20477, 40954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81890 and 81908. The biggest common factor number is the GCF number.
So the greatest common factor 81890 and 81908 is 2.

Also check out the Least Common Multiple of 81890 and 81908