What is the Greatest Common Factor of 11165 and 11172?

Greatest common factor (GCF) of 11165 and 11172 is 7.

GCF(11165,11172) = 7

We will now calculate the prime factors of 11165 and 11172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11165 and 11172.

How to find the GCF of 11165 and 11172?

We will first find the prime factorization of 11165 and 11172. After we will calculate the factors of 11165 and 11172 and find the biggest common factor number .

Step-1: Prime Factorization of 11165

Prime factors of 11165 are 5, 7, 11, 29. Prime factorization of 11165 in exponential form is:

11165 = 5¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 11172

Prime factors of 11172 are 2, 3, 7, 19. Prime factorization of 11172 in exponential form is:

11172 = 2² × 3¹ × 7² × 19¹

Step-3: Factors of 11165

List of positive integer factors of 11165 that divides 11165 without a remainder.

1, 5, 7, 11, 29, 35, 55, 77, 145, 203, 319, 385, 1015, 1595, 2233

Step-4: Factors of 11172

List of positive integer factors of 11172 that divides 11165 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 49, 57, 76, 84, 98, 114, 133, 147, 196, 228, 266, 294, 399, 532, 588, 798, 931, 1596, 1862, 2793, 3724, 5586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11165 and 11172. The biggest common factor number is the GCF number.
So the greatest common factor 11165 and 11172 is 7.

Also check out the Least Common Multiple of 11165 and 11172