What is the Greatest Common Factor of 73840 and 73856?

Greatest common factor (GCF) of 73840 and 73856 is 16.

GCF(73840,73856) = 16

We will now calculate the prime factors of 73840 and 73856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73840 and 73856.

How to find the GCF of 73840 and 73856?

We will first find the prime factorization of 73840 and 73856. After we will calculate the factors of 73840 and 73856 and find the biggest common factor number .

Step-1: Prime Factorization of 73840

Prime factors of 73840 are 2, 5, 13, 71. Prime factorization of 73840 in exponential form is:

73840 = 2⁴ × 5¹ × 13¹ × 71¹

Step-2: Prime Factorization of 73856

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

73856 = 2⁷ × 577¹

Step-3: Factors of 73840

List of positive integer factors of 73840 that divides 73840 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 71, 80, 104, 130, 142, 208, 260, 284, 355, 520, 568, 710, 923, 1040, 1136, 1420, 1846, 2840, 3692, 4615, 5680, 7384, 9230, 14768, 18460, 36920

Step-4: Factors of 73856

List of positive integer factors of 73856 that divides 73840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73840 and 73856. The biggest common factor number is the GCF number.
So the greatest common factor 73840 and 73856 is 16.

Also check out the Least Common Multiple of 73840 and 73856