What is the Greatest Common Factor of 81870 and 81874?

Greatest common factor (GCF) of 81870 and 81874 is 2.

GCF(81870,81874) = 2

We will now calculate the prime factors of 81870 and 81874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81870 and 81874.

How to find the GCF of 81870 and 81874?

We will first find the prime factorization of 81870 and 81874. After we will calculate the factors of 81870 and 81874 and find the biggest common factor number .

Step-1: Prime Factorization of 81870

Prime factors of 81870 are 2, 3, 5, 2729. Prime factorization of 81870 in exponential form is:

81870 = 2¹ × 3¹ × 5¹ × 2729¹

Step-2: 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-3: Factors of 81870

List of positive integer factors of 81870 that divides 81870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2729, 5458, 8187, 13645, 16374, 27290, 40935

Step-4: Factors of 81874

List of positive integer factors of 81874 that divides 81870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81870 and 81874. The biggest common factor number is the GCF number.
So the greatest common factor 81870 and 81874 is 2.

Also check out the Least Common Multiple of 81870 and 81874