What is the Greatest Common Factor of 69744 and 69764?

Greatest common factor (GCF) of 69744 and 69764 is 4.

GCF(69744,69764) = 4

We will now calculate the prime factors of 69744 and 69764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69744 and 69764.

How to find the GCF of 69744 and 69764?

We will first find the prime factorization of 69744 and 69764. After we will calculate the factors of 69744 and 69764 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 69764

Prime factors of 69764 are 2, 107, 163. Prime factorization of 69764 in exponential form is:

69764 = 2² × 107¹ × 163¹

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 69764

List of positive integer factors of 69764 that divides 69744 without a remainder.

1, 2, 4, 107, 163, 214, 326, 428, 652, 17441, 34882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69744 and 69764. The biggest common factor number is the GCF number.
So the greatest common factor 69744 and 69764 is 4.

Also check out the Least Common Multiple of 69744 and 69764