What is the Greatest Common Factor of 69144 and 69162?

Greatest common factor (GCF) of 69144 and 69162 is 6.

GCF(69144,69162) = 6

We will now calculate the prime factors of 69144 and 69162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69144 and 69162.

How to find the GCF of 69144 and 69162?

We will first find the prime factorization of 69144 and 69162. After we will calculate the factors of 69144 and 69162 and find the biggest common factor number .

Step-1: Prime Factorization of 69144

Prime factors of 69144 are 2, 3, 43, 67. Prime factorization of 69144 in exponential form is:

69144 = 2³ × 3¹ × 43¹ × 67¹

Step-2: Prime Factorization of 69162

Prime factors of 69162 are 2, 3, 11527. Prime factorization of 69162 in exponential form is:

69162 = 2¹ × 3¹ × 11527¹

Step-3: Factors of 69144

List of positive integer factors of 69144 that divides 69144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 67, 86, 129, 134, 172, 201, 258, 268, 344, 402, 516, 536, 804, 1032, 1608, 2881, 5762, 8643, 11524, 17286, 23048, 34572

Step-4: Factors of 69162

List of positive integer factors of 69162 that divides 69144 without a remainder.

1, 2, 3, 6, 11527, 23054, 34581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69144 and 69162. The biggest common factor number is the GCF number.
So the greatest common factor 69144 and 69162 is 6.

Also check out the Least Common Multiple of 69144 and 69162