What is the Greatest Common Factor of 73865 and 73880?

Greatest common factor (GCF) of 73865 and 73880 is 5.

GCF(73865,73880) = 5

We will now calculate the prime factors of 73865 and 73880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73865 and 73880.

How to find the GCF of 73865 and 73880?

We will first find the prime factorization of 73865 and 73880. After we will calculate the factors of 73865 and 73880 and find the biggest common factor number .

Step-1: Prime Factorization of 73865

Prime factors of 73865 are 5, 11, 17, 79. Prime factorization of 73865 in exponential form is:

73865 = 5¹ × 11¹ × 17¹ × 79¹

Step-2: Prime Factorization of 73880

Prime factors of 73880 are 2, 5, 1847. Prime factorization of 73880 in exponential form is:

73880 = 2³ × 5¹ × 1847¹

Step-3: Factors of 73865

List of positive integer factors of 73865 that divides 73865 without a remainder.

1, 5, 11, 17, 55, 79, 85, 187, 395, 869, 935, 1343, 4345, 6715, 14773

Step-4: Factors of 73880

List of positive integer factors of 73880 that divides 73865 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1847, 3694, 7388, 9235, 14776, 18470, 36940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73865 and 73880. The biggest common factor number is the GCF number.
So the greatest common factor 73865 and 73880 is 5.

Also check out the Least Common Multiple of 73865 and 73880