What is the Greatest Common Factor of 69168 and 69188?

Greatest common factor (GCF) of 69168 and 69188 is 4.

GCF(69168,69188) = 4

We will now calculate the prime factors of 69168 and 69188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69168 and 69188.

How to find the GCF of 69168 and 69188?

We will first find the prime factorization of 69168 and 69188. After we will calculate the factors of 69168 and 69188 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69188

Prime factors of 69188 are 2, 7, 353. Prime factorization of 69188 in exponential form is:

69188 = 2² × 7² × 353¹

Step-3: Factors of 69168

List of positive integer factors of 69168 that divides 69168 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

Step-4: Factors of 69188

List of positive integer factors of 69188 that divides 69168 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 353, 706, 1412, 2471, 4942, 9884, 17297, 34594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69168 and 69188. The biggest common factor number is the GCF number.
So the greatest common factor 69168 and 69188 is 4.

Also check out the Least Common Multiple of 69168 and 69188