What is the Greatest Common Factor of 11758 and 11770?

Greatest common factor (GCF) of 11758 and 11770 is 2.

GCF(11758,11770) = 2

We will now calculate the prime factors of 11758 and 11770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11758 and 11770.

How to find the GCF of 11758 and 11770?

We will first find the prime factorization of 11758 and 11770. After we will calculate the factors of 11758 and 11770 and find the biggest common factor number .

Step-1: Prime Factorization of 11758

Prime factors of 11758 are 2, 5879. Prime factorization of 11758 in exponential form is:

11758 = 2¹ × 5879¹

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 11758

List of positive integer factors of 11758 that divides 11758 without a remainder.

1, 2, 5879

Step-4: Factors of 11770

List of positive integer factors of 11770 that divides 11758 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 11758 and 11770. The biggest common factor number is the GCF number.
So the greatest common factor 11758 and 11770 is 2.

Also check out the Least Common Multiple of 11758 and 11770