What is the Greatest Common Factor of 73866 and 73874?

Greatest common factor (GCF) of 73866 and 73874 is 2.

GCF(73866,73874) = 2

We will now calculate the prime factors of 73866 and 73874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73866 and 73874.

How to find the GCF of 73866 and 73874?

We will first find the prime factorization of 73866 and 73874. After we will calculate the factors of 73866 and 73874 and find the biggest common factor number .

Step-1: Prime Factorization of 73866

Prime factors of 73866 are 2, 3, 13, 947. Prime factorization of 73866 in exponential form is:

73866 = 2¹ × 3¹ × 13¹ × 947¹

Step-2: Prime Factorization of 73874

Prime factors of 73874 are 2, 43, 859. Prime factorization of 73874 in exponential form is:

73874 = 2¹ × 43¹ × 859¹

Step-3: Factors of 73866

List of positive integer factors of 73866 that divides 73866 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 947, 1894, 2841, 5682, 12311, 24622, 36933

Step-4: Factors of 73874

List of positive integer factors of 73874 that divides 73866 without a remainder.

1, 2, 43, 86, 859, 1718, 36937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73866 and 73874. The biggest common factor number is the GCF number.
So the greatest common factor 73866 and 73874 is 2.

Also check out the Least Common Multiple of 73866 and 73874