What is the Greatest Common Factor of 73623 and 73641?

Greatest common factor (GCF) of 73623 and 73641 is 3.

GCF(73623,73641) = 3

We will now calculate the prime factors of 73623 and 73641, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73623 and 73641.

How to find the GCF of 73623 and 73641?

We will first find the prime factorization of 73623 and 73641. After we will calculate the factors of 73623 and 73641 and find the biggest common factor number .

Step-1: Prime Factorization of 73623

Prime factors of 73623 are 3, 11, 23, 97. Prime factorization of 73623 in exponential form is:

73623 = 3¹ × 11¹ × 23¹ × 97¹

Step-2: Prime Factorization of 73641

Prime factors of 73641 are 3, 24547. Prime factorization of 73641 in exponential form is:

73641 = 3¹ × 24547¹

Step-3: Factors of 73623

List of positive integer factors of 73623 that divides 73623 without a remainder.

1, 3, 11, 23, 33, 69, 97, 253, 291, 759, 1067, 2231, 3201, 6693, 24541

Step-4: Factors of 73641

List of positive integer factors of 73641 that divides 73623 without a remainder.

1, 3, 24547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73623 and 73641. The biggest common factor number is the GCF number.
So the greatest common factor 73623 and 73641 is 3.

Also check out the Least Common Multiple of 73623 and 73641