What is the Greatest Common Factor of 81902 and 81918?

Greatest common factor (GCF) of 81902 and 81918 is 2.

GCF(81902,81918) = 2

We will now calculate the prime factors of 81902 and 81918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81902 and 81918.

How to find the GCF of 81902 and 81918?

We will first find the prime factorization of 81902 and 81918. After we will calculate the factors of 81902 and 81918 and find the biggest common factor number .

Step-1: Prime Factorization of 81902

Prime factors of 81902 are 2, 31, 1321. Prime factorization of 81902 in exponential form is:

81902 = 2¹ × 31¹ × 1321¹

Step-2: Prime Factorization of 81918

Prime factors of 81918 are 2, 3, 37, 41. Prime factorization of 81918 in exponential form is:

81918 = 2¹ × 3³ × 37¹ × 41¹

Step-3: Factors of 81902

List of positive integer factors of 81902 that divides 81902 without a remainder.

1, 2, 31, 62, 1321, 2642, 40951

Step-4: Factors of 81918

List of positive integer factors of 81918 that divides 81902 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 41, 54, 74, 82, 111, 123, 222, 246, 333, 369, 666, 738, 999, 1107, 1517, 1998, 2214, 3034, 4551, 9102, 13653, 27306, 40959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81902 and 81918. The biggest common factor number is the GCF number.
So the greatest common factor 81902 and 81918 is 2.

Also check out the Least Common Multiple of 81902 and 81918