What is the Greatest Common Factor of 69744 and 69756?

Greatest common factor (GCF) of 69744 and 69756 is 12.

GCF(69744,69756) = 12

We will now calculate the prime factors of 69744 and 69756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69744 and 69756.

How to find the GCF of 69744 and 69756?

We will first find the prime factorization of 69744 and 69756. After we will calculate the factors of 69744 and 69756 and find the biggest common factor number .

Step-1: Prime Factorization of 69744

Prime factors of 69744 are 2, 3, 1453. Prime factorization of 69744 in exponential form is:

69744 = 2⁴ × 3¹ × 1453¹

Step-2: Prime Factorization of 69756

Prime factors of 69756 are 2, 3, 5813. Prime factorization of 69756 in exponential form is:

69756 = 2² × 3¹ × 5813¹

Step-3: Factors of 69744

List of positive integer factors of 69744 that divides 69744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1453, 2906, 4359, 5812, 8718, 11624, 17436, 23248, 34872

Step-4: Factors of 69756

List of positive integer factors of 69756 that divides 69744 without a remainder.

1, 2, 3, 4, 6, 12, 5813, 11626, 17439, 23252, 34878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69744 and 69756. The biggest common factor number is the GCF number.
So the greatest common factor 69744 and 69756 is 12.

Also check out the Least Common Multiple of 69744 and 69756