What is the Greatest Common Factor of 11101 and 11109?

Greatest common factor (GCF) of 11101 and 11109 is 1.

GCF(11101,11109) = 1

We will now calculate the prime factors of 11101 and 11109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11101 and 11109.

How to find the GCF of 11101 and 11109?

We will first find the prime factorization of 11101 and 11109. After we will calculate the factors of 11101 and 11109 and find the biggest common factor number .

Step-1: Prime Factorization of 11101

Prime factors of 11101 are 17, 653. Prime factorization of 11101 in exponential form is:

11101 = 17¹ × 653¹

Step-2: Prime Factorization of 11109

Prime factors of 11109 are 3, 7, 23. Prime factorization of 11109 in exponential form is:

11109 = 3¹ × 7¹ × 23²

Step-3: Factors of 11101

List of positive integer factors of 11101 that divides 11101 without a remainder.

1, 17, 653

Step-4: Factors of 11109

List of positive integer factors of 11109 that divides 11101 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483, 529, 1587, 3703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11101 and 11109. The biggest common factor number is the GCF number.
So the greatest common factor 11101 and 11109 is 1.

Also check out the Least Common Multiple of 11101 and 11109