What is the Greatest Common Factor of 73856 and 73860?

Greatest common factor (GCF) of 73856 and 73860 is 4.

GCF(73856,73860) = 4

We will now calculate the prime factors of 73856 and 73860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73856 and 73860.

How to find the GCF of 73856 and 73860?

We will first find the prime factorization of 73856 and 73860. After we will calculate the factors of 73856 and 73860 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 73860

Prime factors of 73860 are 2, 3, 5, 1231. Prime factorization of 73860 in exponential form is:

73860 = 2² × 3¹ × 5¹ × 1231¹

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 73860

List of positive integer factors of 73860 that divides 73856 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1231, 2462, 3693, 4924, 6155, 7386, 12310, 14772, 18465, 24620, 36930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73856 and 73860. The biggest common factor number is the GCF number.
So the greatest common factor 73856 and 73860 is 4.

Also check out the Least Common Multiple of 73856 and 73860