What is the Greatest Common Factor of 73545 and 73563?

Greatest common factor (GCF) of 73545 and 73563 is 3.

GCF(73545,73563) = 3

We will now calculate the prime factors of 73545 and 73563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73545 and 73563.

How to find the GCF of 73545 and 73563?

We will first find the prime factorization of 73545 and 73563. After we will calculate the factors of 73545 and 73563 and find the biggest common factor number .

Step-1: Prime Factorization of 73545

Prime factors of 73545 are 3, 5, 4903. Prime factorization of 73545 in exponential form is:

73545 = 3¹ × 5¹ × 4903¹

Step-2: 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-3: Factors of 73545

List of positive integer factors of 73545 that divides 73545 without a remainder.

1, 3, 5, 15, 4903, 14709, 24515

Step-4: Factors of 73563

List of positive integer factors of 73563 that divides 73545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73545 and 73563. The biggest common factor number is the GCF number.
So the greatest common factor 73545 and 73563 is 3.

Also check out the Least Common Multiple of 73545 and 73563