What is the Greatest Common Factor of 73563 and 73578?

Greatest common factor (GCF) of 73563 and 73578 is 3.

GCF(73563,73578) = 3

We will now calculate the prime factors of 73563 and 73578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73563 and 73578.

How to find the GCF of 73563 and 73578?

We will first find the prime factorization of 73563 and 73578. After we will calculate the factors of 73563 and 73578 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 73578

Prime factors of 73578 are 2, 3, 12263. Prime factorization of 73578 in exponential form is:

73578 = 2¹ × 3¹ × 12263¹

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 73578

List of positive integer factors of 73578 that divides 73563 without a remainder.

1, 2, 3, 6, 12263, 24526, 36789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73563 and 73578. The biggest common factor number is the GCF number.
So the greatest common factor 73563 and 73578 is 3.

Also check out the Least Common Multiple of 73563 and 73578