What is the Greatest Common Factor of 69157 and 69168?

Greatest common factor (GCF) of 69157 and 69168 is 11.

GCF(69157,69168) = 11

We will now calculate the prime factors of 69157 and 69168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69157 and 69168.

How to find the GCF of 69157 and 69168?

We will first find the prime factorization of 69157 and 69168. After we will calculate the factors of 69157 and 69168 and find the biggest common factor number .

Step-1: Prime Factorization of 69157

Prime factors of 69157 are 11, 6287. Prime factorization of 69157 in exponential form is:

69157 = 11¹ × 6287¹

Step-2: Prime Factorization of 69168

Prime factors of 69168 are 2, 3, 11, 131. Prime factorization of 69168 in exponential form is:

69168 = 2⁴ × 3¹ × 11¹ × 131¹

Step-3: Factors of 69157

List of positive integer factors of 69157 that divides 69157 without a remainder.

1, 11, 6287

Step-4: Factors of 69168

List of positive integer factors of 69168 that divides 69157 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 131, 132, 176, 262, 264, 393, 524, 528, 786, 1048, 1441, 1572, 2096, 2882, 3144, 4323, 5764, 6288, 8646, 11528, 17292, 23056, 34584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69157 and 69168. The biggest common factor number is the GCF number.
So the greatest common factor 69157 and 69168 is 11.

Also check out the Least Common Multiple of 69157 and 69168