What is the Greatest Common Factor of 69129 and 69144?

Greatest common factor (GCF) of 69129 and 69144 is 3.

GCF(69129,69144) = 3

We will now calculate the prime factors of 69129 and 69144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69129 and 69144.

How to find the GCF of 69129 and 69144?

We will first find the prime factorization of 69129 and 69144. After we will calculate the factors of 69129 and 69144 and find the biggest common factor number .

Step-1: Prime Factorization of 69129

Prime factors of 69129 are 3, 7681. Prime factorization of 69129 in exponential form is:

69129 = 3² × 7681¹

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 69129

List of positive integer factors of 69129 that divides 69129 without a remainder.

1, 3, 9, 7681, 23043

Step-4: Factors of 69144

List of positive integer factors of 69144 that divides 69129 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 69129 and 69144. The biggest common factor number is the GCF number.
So the greatest common factor 69129 and 69144 is 3.

Also check out the Least Common Multiple of 69129 and 69144