What is the Greatest Common Factor of 69153 and 69168?

Greatest common factor (GCF) of 69153 and 69168 is 3.

GCF(69153,69168) = 3

We will now calculate the prime factors of 69153 and 69168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69153 and 69168.

How to find the GCF of 69153 and 69168?

We will first find the prime factorization of 69153 and 69168. After we will calculate the factors of 69153 and 69168 and find the biggest common factor number .

Step-1: Prime Factorization of 69153

Prime factors of 69153 are 3, 7, 37, 89. Prime factorization of 69153 in exponential form is:

69153 = 3¹ × 7¹ × 37¹ × 89¹

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 69153

List of positive integer factors of 69153 that divides 69153 without a remainder.

1, 3, 7, 21, 37, 89, 111, 259, 267, 623, 777, 1869, 3293, 9879, 23051

Step-4: Factors of 69168

List of positive integer factors of 69168 that divides 69153 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 69153 and 69168. The biggest common factor number is the GCF number.
So the greatest common factor 69153 and 69168 is 3.

Also check out the Least Common Multiple of 69153 and 69168