What is the Greatest Common Factor of 73856 and 73868?

Greatest common factor (GCF) of 73856 and 73868 is 4.

GCF(73856,73868) = 4

We will now calculate the prime factors of 73856 and 73868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73856 and 73868.

How to find the GCF of 73856 and 73868?

We will first find the prime factorization of 73856 and 73868. After we will calculate the factors of 73856 and 73868 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 73868

Prime factors of 73868 are 2, 59, 313. Prime factorization of 73868 in exponential form is:

73868 = 2² × 59¹ × 313¹

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 73868

List of positive integer factors of 73868 that divides 73856 without a remainder.

1, 2, 4, 59, 118, 236, 313, 626, 1252, 18467, 36934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73856 and 73868. The biggest common factor number is the GCF number.
So the greatest common factor 73856 and 73868 is 4.

Also check out the Least Common Multiple of 73856 and 73868