What is the Greatest Common Factor of 11641 and 11655?

Greatest common factor (GCF) of 11641 and 11655 is 7.

GCF(11641,11655) = 7

We will now calculate the prime factors of 11641 and 11655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11641 and 11655.

How to find the GCF of 11641 and 11655?

We will first find the prime factorization of 11641 and 11655. After we will calculate the factors of 11641 and 11655 and find the biggest common factor number .

Step-1: Prime Factorization of 11641

Prime factors of 11641 are 7, 1663. Prime factorization of 11641 in exponential form is:

11641 = 7¹ × 1663¹

Step-2: Prime Factorization of 11655

Prime factors of 11655 are 3, 5, 7, 37. Prime factorization of 11655 in exponential form is:

11655 = 3² × 5¹ × 7¹ × 37¹

Step-3: Factors of 11641

List of positive integer factors of 11641 that divides 11641 without a remainder.

1, 7, 1663

Step-4: Factors of 11655

List of positive integer factors of 11655 that divides 11641 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 37, 45, 63, 105, 111, 185, 259, 315, 333, 555, 777, 1295, 1665, 2331, 3885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11641 and 11655. The biggest common factor number is the GCF number.
So the greatest common factor 11641 and 11655 is 7.

Also check out the Least Common Multiple of 11641 and 11655