What is the Greatest Common Factor of 81880 and 81898?

Greatest common factor (GCF) of 81880 and 81898 is 2.

GCF(81880,81898) = 2

We will now calculate the prime factors of 81880 and 81898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81880 and 81898.

How to find the GCF of 81880 and 81898?

We will first find the prime factorization of 81880 and 81898. After we will calculate the factors of 81880 and 81898 and find the biggest common factor number .

Step-1: Prime Factorization of 81880

Prime factors of 81880 are 2, 5, 23, 89. Prime factorization of 81880 in exponential form is:

81880 = 2³ × 5¹ × 23¹ × 89¹

Step-2: Prime Factorization of 81898

Prime factors of 81898 are 2, 40949. Prime factorization of 81898 in exponential form is:

81898 = 2¹ × 40949¹

Step-3: Factors of 81880

List of positive integer factors of 81880 that divides 81880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 89, 92, 115, 178, 184, 230, 356, 445, 460, 712, 890, 920, 1780, 2047, 3560, 4094, 8188, 10235, 16376, 20470, 40940

Step-4: Factors of 81898

List of positive integer factors of 81898 that divides 81880 without a remainder.

1, 2, 40949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81880 and 81898. The biggest common factor number is the GCF number.
So the greatest common factor 81880 and 81898 is 2.

Also check out the Least Common Multiple of 81880 and 81898