What is the Greatest Common Factor of 81874 and 81880?

Greatest common factor (GCF) of 81874 and 81880 is 2.

GCF(81874,81880) = 2

We will now calculate the prime factors of 81874 and 81880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81874 and 81880.

How to find the GCF of 81874 and 81880?

We will first find the prime factorization of 81874 and 81880. After we will calculate the factors of 81874 and 81880 and find the biggest common factor number .

Step-1: Prime Factorization of 81874

Prime factors of 81874 are 2, 13, 47, 67. Prime factorization of 81874 in exponential form is:

81874 = 2¹ × 13¹ × 47¹ × 67¹

Step-2: 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-3: Factors of 81874

List of positive integer factors of 81874 that divides 81874 without a remainder.

1, 2, 13, 26, 47, 67, 94, 134, 611, 871, 1222, 1742, 3149, 6298, 40937

Step-4: Factors of 81880

List of positive integer factors of 81880 that divides 81874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81874 and 81880. The biggest common factor number is the GCF number.
So the greatest common factor 81874 and 81880 is 2.

Also check out the Least Common Multiple of 81874 and 81880