What is the Greatest Common Factor of 11760 and 11780?

Greatest common factor (GCF) of 11760 and 11780 is 20.

GCF(11760,11780) = 20

We will now calculate the prime factors of 11760 and 11780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11760 and 11780.

How to find the GCF of 11760 and 11780?

We will first find the prime factorization of 11760 and 11780. After we will calculate the factors of 11760 and 11780 and find the biggest common factor number .

Step-1: Prime Factorization of 11760

Prime factors of 11760 are 2, 3, 5, 7. Prime factorization of 11760 in exponential form is:

11760 = 2⁴ × 3¹ × 5¹ × 7²

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 11760

List of positive integer factors of 11760 that divides 11760 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 49, 56, 60, 70, 80, 84, 98, 105, 112, 120, 140, 147, 168, 196, 210, 240, 245, 280, 294, 336, 392, 420, 490, 560, 588, 735, 784, 840, 980, 1176, 1470, 1680, 1960, 2352, 2940, 3920, 5880

Step-4: Factors of 11780

List of positive integer factors of 11780 that divides 11760 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 11760 and 11780. The biggest common factor number is the GCF number.
So the greatest common factor 11760 and 11780 is 20.

Also check out the Least Common Multiple of 11760 and 11780