What is the Greatest Common Factor of 73761 and 73767?

Greatest common factor (GCF) of 73761 and 73767 is 3.

GCF(73761,73767) = 3

We will now calculate the prime factors of 73761 and 73767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73761 and 73767.

How to find the GCF of 73761 and 73767?

We will first find the prime factorization of 73761 and 73767. After we will calculate the factors of 73761 and 73767 and find the biggest common factor number .

Step-1: Prime Factorization of 73761

Prime factors of 73761 are 3, 23, 1069. Prime factorization of 73761 in exponential form is:

73761 = 3¹ × 23¹ × 1069¹

Step-2: Prime Factorization of 73767

Prime factors of 73767 are 3, 67, 367. Prime factorization of 73767 in exponential form is:

73767 = 3¹ × 67¹ × 367¹

Step-3: Factors of 73761

List of positive integer factors of 73761 that divides 73761 without a remainder.

1, 3, 23, 69, 1069, 3207, 24587

Step-4: Factors of 73767

List of positive integer factors of 73767 that divides 73761 without a remainder.

1, 3, 67, 201, 367, 1101, 24589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73761 and 73767. The biggest common factor number is the GCF number.
So the greatest common factor 73761 and 73767 is 3.

Also check out the Least Common Multiple of 73761 and 73767