What is the Greatest Common Factor of 11742 and 11761?

Greatest common factor (GCF) of 11742 and 11761 is 19.

GCF(11742,11761) = 19

We will now calculate the prime factors of 11742 and 11761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11742 and 11761.

How to find the GCF of 11742 and 11761?

We will first find the prime factorization of 11742 and 11761. After we will calculate the factors of 11742 and 11761 and find the biggest common factor number .

Step-1: Prime Factorization of 11742

Prime factors of 11742 are 2, 3, 19, 103. Prime factorization of 11742 in exponential form is:

11742 = 2¹ × 3¹ × 19¹ × 103¹

Step-2: Prime Factorization of 11761

Prime factors of 11761 are 19, 619. Prime factorization of 11761 in exponential form is:

11761 = 19¹ × 619¹

Step-3: Factors of 11742

List of positive integer factors of 11742 that divides 11742 without a remainder.

1, 2, 3, 6, 19, 38, 57, 103, 114, 206, 309, 618, 1957, 3914, 5871

Step-4: Factors of 11761

List of positive integer factors of 11761 that divides 11742 without a remainder.

1, 19, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11742 and 11761. The biggest common factor number is the GCF number.
So the greatest common factor 11742 and 11761 is 19.

Also check out the Least Common Multiple of 11742 and 11761