What is the Greatest Common Factor of 73905 and 73914?

Greatest common factor (GCF) of 73905 and 73914 is 3.

GCF(73905,73914) = 3

We will now calculate the prime factors of 73905 and 73914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73905 and 73914.

How to find the GCF of 73905 and 73914?

We will first find the prime factorization of 73905 and 73914. After we will calculate the factors of 73905 and 73914 and find the biggest common factor number .

Step-1: Prime Factorization of 73905

Prime factors of 73905 are 3, 5, 13, 379. Prime factorization of 73905 in exponential form is:

73905 = 3¹ × 5¹ × 13¹ × 379¹

Step-2: Prime Factorization of 73914

Prime factors of 73914 are 2, 3, 97, 127. Prime factorization of 73914 in exponential form is:

73914 = 2¹ × 3¹ × 97¹ × 127¹

Step-3: Factors of 73905

List of positive integer factors of 73905 that divides 73905 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 379, 1137, 1895, 4927, 5685, 14781, 24635

Step-4: Factors of 73914

List of positive integer factors of 73914 that divides 73905 without a remainder.

1, 2, 3, 6, 97, 127, 194, 254, 291, 381, 582, 762, 12319, 24638, 36957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73905 and 73914. The biggest common factor number is the GCF number.
So the greatest common factor 73905 and 73914 is 3.

Also check out the Least Common Multiple of 73905 and 73914