What is the Greatest Common Factor of 73856 and 73876?

Greatest common factor (GCF) of 73856 and 73876 is 4.

GCF(73856,73876) = 4

We will now calculate the prime factors of 73856 and 73876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73856 and 73876.

How to find the GCF of 73856 and 73876?

We will first find the prime factorization of 73856 and 73876. After we will calculate the factors of 73856 and 73876 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 73876

Prime factors of 73876 are 2, 11, 23, 73. Prime factorization of 73876 in exponential form is:

73876 = 2² × 11¹ × 23¹ × 73¹

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 73876

List of positive integer factors of 73876 that divides 73856 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 73, 92, 146, 253, 292, 506, 803, 1012, 1606, 1679, 3212, 3358, 6716, 18469, 36938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73856 and 73876. The biggest common factor number is the GCF number.
So the greatest common factor 73856 and 73876 is 4.

Also check out the Least Common Multiple of 73856 and 73876