What is the Greatest Common Factor of 36157 and 36168?

Greatest common factor (GCF) of 36157 and 36168 is 11.

GCF(36157,36168) = 11

We will now calculate the prime factors of 36157 and 36168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36157 and 36168.

How to find the GCF of 36157 and 36168?

We will first find the prime factorization of 36157 and 36168. After we will calculate the factors of 36157 and 36168 and find the biggest common factor number .

Step-1: Prime Factorization of 36157

Prime factors of 36157 are 11, 19, 173. Prime factorization of 36157 in exponential form is:

36157 = 11¹ × 19¹ × 173¹

Step-2: Prime Factorization of 36168

Prime factors of 36168 are 2, 3, 11, 137. Prime factorization of 36168 in exponential form is:

36168 = 2³ × 3¹ × 11¹ × 137¹

Step-3: Factors of 36157

List of positive integer factors of 36157 that divides 36157 without a remainder.

1, 11, 19, 173, 209, 1903, 3287

Step-4: Factors of 36168

List of positive integer factors of 36168 that divides 36157 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 137, 264, 274, 411, 548, 822, 1096, 1507, 1644, 3014, 3288, 4521, 6028, 9042, 12056, 18084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36157 and 36168. The biggest common factor number is the GCF number.
So the greatest common factor 36157 and 36168 is 11.

Also check out the Least Common Multiple of 36157 and 36168