What is the Greatest Common Factor of 69384 and 69396?

Greatest common factor (GCF) of 69384 and 69396 is 12.

GCF(69384,69396) = 12

We will now calculate the prime factors of 69384 and 69396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69384 and 69396.

How to find the GCF of 69384 and 69396?

We will first find the prime factorization of 69384 and 69396. After we will calculate the factors of 69384 and 69396 and find the biggest common factor number .

Step-1: Prime Factorization of 69384

Prime factors of 69384 are 2, 3, 7, 59. Prime factorization of 69384 in exponential form is:

69384 = 2³ × 3¹ × 7² × 59¹

Step-2: Prime Factorization of 69396

Prime factors of 69396 are 2, 3, 5783. Prime factorization of 69396 in exponential form is:

69396 = 2² × 3¹ × 5783¹

Step-3: Factors of 69384

List of positive integer factors of 69384 that divides 69384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 59, 84, 98, 118, 147, 168, 177, 196, 236, 294, 354, 392, 413, 472, 588, 708, 826, 1176, 1239, 1416, 1652, 2478, 2891, 3304, 4956, 5782, 8673, 9912, 11564, 17346, 23128, 34692

Step-4: Factors of 69396

List of positive integer factors of 69396 that divides 69384 without a remainder.

1, 2, 3, 4, 6, 12, 5783, 11566, 17349, 23132, 34698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69384 and 69396. The biggest common factor number is the GCF number.
So the greatest common factor 69384 and 69396 is 12.

Also check out the Least Common Multiple of 69384 and 69396