What is the Greatest Common Factor of 11760 and 11770?

Greatest common factor (GCF) of 11760 and 11770 is 10.

GCF(11760,11770) = 10

We will now calculate the prime factors of 11760 and 11770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11760 and 11770.

How to find the GCF of 11760 and 11770?

We will first find the prime factorization of 11760 and 11770. After we will calculate the factors of 11760 and 11770 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 11770

Prime factors of 11770 are 2, 5, 11, 107. Prime factorization of 11770 in exponential form is:

11770 = 2¹ × 5¹ × 11¹ × 107¹

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 11770

List of positive integer factors of 11770 that divides 11760 without a remainder.

1, 2, 5, 10, 11, 22, 55, 107, 110, 214, 535, 1070, 1177, 2354, 5885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11760 and 11770. The biggest common factor number is the GCF number.
So the greatest common factor 11760 and 11770 is 10.

Also check out the Least Common Multiple of 11760 and 11770