What is the Greatest Common Factor of 73749 and 73761?

Greatest common factor (GCF) of 73749 and 73761 is 3.

GCF(73749,73761) = 3

We will now calculate the prime factors of 73749 and 73761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73749 and 73761.

How to find the GCF of 73749 and 73761?

We will first find the prime factorization of 73749 and 73761. After we will calculate the factors of 73749 and 73761 and find the biggest common factor number .

Step-1: Prime Factorization of 73749

Prime factors of 73749 are 3, 13, 31, 61. Prime factorization of 73749 in exponential form is:

73749 = 3¹ × 13¹ × 31¹ × 61¹

Step-2: 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-3: Factors of 73749

List of positive integer factors of 73749 that divides 73749 without a remainder.

1, 3, 13, 31, 39, 61, 93, 183, 403, 793, 1209, 1891, 2379, 5673, 24583

Step-4: Factors of 73761

List of positive integer factors of 73761 that divides 73749 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73749 and 73761. The biggest common factor number is the GCF number.
So the greatest common factor 73749 and 73761 is 3.

Also check out the Least Common Multiple of 73749 and 73761