What is the Greatest Common Factor of 73848 and 73865?

Greatest common factor (GCF) of 73848 and 73865 is 17.

GCF(73848,73865) = 17

We will now calculate the prime factors of 73848 and 73865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73848 and 73865.

How to find the GCF of 73848 and 73865?

We will first find the prime factorization of 73848 and 73865. After we will calculate the factors of 73848 and 73865 and find the biggest common factor number .

Step-1: Prime Factorization of 73848

Prime factors of 73848 are 2, 3, 17, 181. Prime factorization of 73848 in exponential form is:

73848 = 2³ × 3¹ × 17¹ × 181¹

Step-2: 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-3: Factors of 73848

List of positive integer factors of 73848 that divides 73848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 181, 204, 362, 408, 543, 724, 1086, 1448, 2172, 3077, 4344, 6154, 9231, 12308, 18462, 24616, 36924

Step-4: Factors of 73865

List of positive integer factors of 73865 that divides 73848 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73848 and 73865. The biggest common factor number is the GCF number.
So the greatest common factor 73848 and 73865 is 17.

Also check out the Least Common Multiple of 73848 and 73865