What is the Greatest Common Factor of 11760 and 11764?

Greatest common factor (GCF) of 11760 and 11764 is 4.

GCF(11760,11764) = 4

We will now calculate the prime factors of 11760 and 11764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11760 and 11764.

How to find the GCF of 11760 and 11764?

We will first find the prime factorization of 11760 and 11764. After we will calculate the factors of 11760 and 11764 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 11764

Prime factors of 11764 are 2, 17, 173. Prime factorization of 11764 in exponential form is:

11764 = 2² × 17¹ × 173¹

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 11764

List of positive integer factors of 11764 that divides 11760 without a remainder.

1, 2, 4, 17, 34, 68, 173, 346, 692, 2941, 5882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11760 and 11764. The biggest common factor number is the GCF number.
So the greatest common factor 11760 and 11764 is 4.

Also check out the Least Common Multiple of 11760 and 11764