What is the Greatest Common Factor of 73563 and 73575?

Greatest common factor (GCF) of 73563 and 73575 is 3.

GCF(73563,73575) = 3

We will now calculate the prime factors of 73563 and 73575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73563 and 73575.

How to find the GCF of 73563 and 73575?

We will first find the prime factorization of 73563 and 73575. After we will calculate the factors of 73563 and 73575 and find the biggest common factor number .

Step-1: Prime Factorization of 73563

Prime factors of 73563 are 3, 7, 31, 113. Prime factorization of 73563 in exponential form is:

73563 = 3¹ × 7¹ × 31¹ × 113¹

Step-2: Prime Factorization of 73575

Prime factors of 73575 are 3, 5, 109. Prime factorization of 73575 in exponential form is:

73575 = 3³ × 5² × 109¹

Step-3: Factors of 73563

List of positive integer factors of 73563 that divides 73563 without a remainder.

1, 3, 7, 21, 31, 93, 113, 217, 339, 651, 791, 2373, 3503, 10509, 24521

Step-4: Factors of 73575

List of positive integer factors of 73575 that divides 73563 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 109, 135, 225, 327, 545, 675, 981, 1635, 2725, 2943, 4905, 8175, 14715, 24525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73563 and 73575. The biggest common factor number is the GCF number.
So the greatest common factor 73563 and 73575 is 3.

Also check out the Least Common Multiple of 73563 and 73575