What is the Greatest Common Factor of 61743 and 61749?

Greatest common factor (GCF) of 61743 and 61749 is 3.

GCF(61743,61749) = 3

We will now calculate the prime factors of 61743 and 61749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61743 and 61749.

How to find the GCF of 61743 and 61749?

We will first find the prime factorization of 61743 and 61749. After we will calculate the factors of 61743 and 61749 and find the biggest common factor number .

Step-1: Prime Factorization of 61743

Prime factors of 61743 are 3, 11, 1871. Prime factorization of 61743 in exponential form is:

61743 = 3¹ × 11¹ × 1871¹

Step-2: Prime Factorization of 61749

Prime factors of 61749 are 3, 2287. Prime factorization of 61749 in exponential form is:

61749 = 3³ × 2287¹

Step-3: Factors of 61743

List of positive integer factors of 61743 that divides 61743 without a remainder.

1, 3, 11, 33, 1871, 5613, 20581

Step-4: Factors of 61749

List of positive integer factors of 61749 that divides 61743 without a remainder.

1, 3, 9, 27, 2287, 6861, 20583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61743 and 61749. The biggest common factor number is the GCF number.
So the greatest common factor 61743 and 61749 is 3.

Also check out the Least Common Multiple of 61743 and 61749