What is the Greatest Common Factor of 73856 and 73874?

Greatest common factor (GCF) of 73856 and 73874 is 2.

GCF(73856,73874) = 2

We will now calculate the prime factors of 73856 and 73874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73856 and 73874.

How to find the GCF of 73856 and 73874?

We will first find the prime factorization of 73856 and 73874. After we will calculate the factors of 73856 and 73874 and find the biggest common factor number .

Step-1: Prime Factorization of 73856

Prime factors of 73856 are 2, 577. Prime factorization of 73856 in exponential form is:

73856 = 2⁷ × 577¹

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 73856

List of positive integer factors of 73856 that divides 73856 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 577, 1154, 2308, 4616, 9232, 18464, 36928

Step-4: Factors of 73874

List of positive integer factors of 73874 that divides 73856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73856 and 73874. The biggest common factor number is the GCF number.
So the greatest common factor 73856 and 73874 is 2.

Also check out the Least Common Multiple of 73856 and 73874