What is the Greatest Common Factor of 73743 and 73749?

Greatest common factor (GCF) of 73743 and 73749 is 3.

GCF(73743,73749) = 3

We will now calculate the prime factors of 73743 and 73749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73743 and 73749.

How to find the GCF of 73743 and 73749?

We will first find the prime factorization of 73743 and 73749. After we will calculate the factors of 73743 and 73749 and find the biggest common factor number .

Step-1: Prime Factorization of 73743

Prime factors of 73743 are 3, 47, 523. Prime factorization of 73743 in exponential form is:

73743 = 3¹ × 47¹ × 523¹

Step-2: 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-3: Factors of 73743

List of positive integer factors of 73743 that divides 73743 without a remainder.

1, 3, 47, 141, 523, 1569, 24581

Step-4: Factors of 73749

List of positive integer factors of 73749 that divides 73743 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73743 and 73749. The biggest common factor number is the GCF number.
So the greatest common factor 73743 and 73749 is 3.

Also check out the Least Common Multiple of 73743 and 73749