What is the Greatest Common Factor of 11750 and 11770?

Greatest common factor (GCF) of 11750 and 11770 is 10.

GCF(11750,11770) = 10

We will now calculate the prime factors of 11750 and 11770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11750 and 11770.

How to find the GCF of 11750 and 11770?

We will first find the prime factorization of 11750 and 11770. After we will calculate the factors of 11750 and 11770 and find the biggest common factor number .

Step-1: Prime Factorization of 11750

Prime factors of 11750 are 2, 5, 47. Prime factorization of 11750 in exponential form is:

11750 = 2¹ × 5³ × 47¹

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 11750

List of positive integer factors of 11750 that divides 11750 without a remainder.

1, 2, 5, 10, 25, 47, 50, 94, 125, 235, 250, 470, 1175, 2350, 5875

Step-4: Factors of 11770

List of positive integer factors of 11770 that divides 11750 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 11750 and 11770. The biggest common factor number is the GCF number.
So the greatest common factor 11750 and 11770 is 10.

Also check out the Least Common Multiple of 11750 and 11770