What is the Greatest Common Factor of 11761 and 11780?

Greatest common factor (GCF) of 11761 and 11780 is 19.

GCF(11761,11780) = 19

We will now calculate the prime factors of 11761 and 11780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11761 and 11780.

How to find the GCF of 11761 and 11780?

We will first find the prime factorization of 11761 and 11780. After we will calculate the factors of 11761 and 11780 and find the biggest common factor number .

Step-1: Prime Factorization of 11761

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

11761 = 19¹ × 619¹

Step-2: Prime Factorization of 11780

Prime factors of 11780 are 2, 5, 19, 31. Prime factorization of 11780 in exponential form is:

11780 = 2² × 5¹ × 19¹ × 31¹

Step-3: Factors of 11761

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

1, 19, 619

Step-4: Factors of 11780

List of positive integer factors of 11780 that divides 11761 without a remainder.

1, 2, 4, 5, 10, 19, 20, 31, 38, 62, 76, 95, 124, 155, 190, 310, 380, 589, 620, 1178, 2356, 2945, 5890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11761 and 11780. The biggest common factor number is the GCF number.
So the greatest common factor 11761 and 11780 is 19.

Also check out the Least Common Multiple of 11761 and 11780