What is the Greatest Common Factor of 11627 and 11635?

Greatest common factor (GCF) of 11627 and 11635 is 1.

GCF(11627,11635) = 1

We will now calculate the prime factors of 11627 and 11635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11627 and 11635.

How to find the GCF of 11627 and 11635?

We will first find the prime factorization of 11627 and 11635. After we will calculate the factors of 11627 and 11635 and find the biggest common factor number .

Step-1: Prime Factorization of 11627

Prime factors of 11627 are 7, 11, 151. Prime factorization of 11627 in exponential form is:

11627 = 7¹ × 11¹ × 151¹

Step-2: Prime Factorization of 11635

Prime factors of 11635 are 5, 13, 179. Prime factorization of 11635 in exponential form is:

11635 = 5¹ × 13¹ × 179¹

Step-3: Factors of 11627

List of positive integer factors of 11627 that divides 11627 without a remainder.

1, 7, 11, 77, 151, 1057, 1661

Step-4: Factors of 11635

List of positive integer factors of 11635 that divides 11627 without a remainder.

1, 5, 13, 65, 179, 895, 2327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11627 and 11635. The biggest common factor number is the GCF number.
So the greatest common factor 11627 and 11635 is 1.

Also check out the Least Common Multiple of 11627 and 11635