What is the Greatest Common Factor of 73563 and 73581?

Greatest common factor (GCF) of 73563 and 73581 is 3.

GCF(73563,73581) = 3

We will now calculate the prime factors of 73563 and 73581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73563 and 73581.

How to find the GCF of 73563 and 73581?

We will first find the prime factorization of 73563 and 73581. After we will calculate the factors of 73563 and 73581 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 73581

Prime factors of 73581 are 3, 24527. Prime factorization of 73581 in exponential form is:

73581 = 3¹ × 24527¹

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 73581

List of positive integer factors of 73581 that divides 73563 without a remainder.

1, 3, 24527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73563 and 73581. The biggest common factor number is the GCF number.
So the greatest common factor 73563 and 73581 is 3.

Also check out the Least Common Multiple of 73563 and 73581