What is the Greatest Common Factor of 61743 and 61761?

Greatest common factor (GCF) of 61743 and 61761 is 3.

GCF(61743,61761) = 3

We will now calculate the prime factors of 61743 and 61761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61743 and 61761.

How to find the GCF of 61743 and 61761?

We will first find the prime factorization of 61743 and 61761. After we will calculate the factors of 61743 and 61761 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 61761

Prime factors of 61761 are 3, 7, 17, 173. Prime factorization of 61761 in exponential form is:

61761 = 3¹ × 7¹ × 17¹ × 173¹

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 61761

List of positive integer factors of 61761 that divides 61743 without a remainder.

1, 3, 7, 17, 21, 51, 119, 173, 357, 519, 1211, 2941, 3633, 8823, 20587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61743 and 61761. The biggest common factor number is the GCF number.
So the greatest common factor 61743 and 61761 is 3.

Also check out the Least Common Multiple of 61743 and 61761