What is the Greatest Common Factor of 69135 and 69144?

Greatest common factor (GCF) of 69135 and 69144 is 3.

GCF(69135,69144) = 3

We will now calculate the prime factors of 69135 and 69144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69135 and 69144.

How to find the GCF of 69135 and 69144?

We will first find the prime factorization of 69135 and 69144. After we will calculate the factors of 69135 and 69144 and find the biggest common factor number .

Step-1: Prime Factorization of 69135

Prime factors of 69135 are 3, 5, 11, 419. Prime factorization of 69135 in exponential form is:

69135 = 3¹ × 5¹ × 11¹ × 419¹

Step-2: 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-3: Factors of 69135

List of positive integer factors of 69135 that divides 69135 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 419, 1257, 2095, 4609, 6285, 13827, 23045

Step-4: Factors of 69144

List of positive integer factors of 69144 that divides 69135 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69135 and 69144. The biggest common factor number is the GCF number.
So the greatest common factor 69135 and 69144 is 3.

Also check out the Least Common Multiple of 69135 and 69144