What is the Greatest Common Factor of 69744 and 69748?

Greatest common factor (GCF) of 69744 and 69748 is 4.

GCF(69744,69748) = 4

We will now calculate the prime factors of 69744 and 69748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69744 and 69748.

How to find the GCF of 69744 and 69748?

We will first find the prime factorization of 69744 and 69748. After we will calculate the factors of 69744 and 69748 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 69748

Prime factors of 69748 are 2, 7, 47, 53. Prime factorization of 69748 in exponential form is:

69748 = 2² × 7¹ × 47¹ × 53¹

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 69748

List of positive integer factors of 69748 that divides 69744 without a remainder.

1, 2, 4, 7, 14, 28, 47, 53, 94, 106, 188, 212, 329, 371, 658, 742, 1316, 1484, 2491, 4982, 9964, 17437, 34874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69744 and 69748. The biggest common factor number is the GCF number.
So the greatest common factor 69744 and 69748 is 4.

Also check out the Least Common Multiple of 69744 and 69748