What is the Greatest Common Factor of 11102 and 11109?

Greatest common factor (GCF) of 11102 and 11109 is 7.

GCF(11102,11109) = 7

We will now calculate the prime factors of 11102 and 11109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11102 and 11109.

How to find the GCF of 11102 and 11109?

We will first find the prime factorization of 11102 and 11109. After we will calculate the factors of 11102 and 11109 and find the biggest common factor number .

Step-1: Prime Factorization of 11102

Prime factors of 11102 are 2, 7, 13, 61. Prime factorization of 11102 in exponential form is:

11102 = 2¹ × 7¹ × 13¹ × 61¹

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 11102

List of positive integer factors of 11102 that divides 11102 without a remainder.

1, 2, 7, 13, 14, 26, 61, 91, 122, 182, 427, 793, 854, 1586, 5551

Step-4: Factors of 11109

List of positive integer factors of 11109 that divides 11102 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 11102 and 11109. The biggest common factor number is the GCF number.
So the greatest common factor 11102 and 11109 is 7.

Also check out the Least Common Multiple of 11102 and 11109