What is the Greatest Common Factor of 69369 and 69384?

Greatest common factor (GCF) of 69369 and 69384 is 3.

GCF(69369,69384) = 3

We will now calculate the prime factors of 69369 and 69384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69369 and 69384.

How to find the GCF of 69369 and 69384?

We will first find the prime factorization of 69369 and 69384. After we will calculate the factors of 69369 and 69384 and find the biggest common factor number .

Step-1: Prime Factorization of 69369

Prime factors of 69369 are 3, 19, 1217. Prime factorization of 69369 in exponential form is:

69369 = 3¹ × 19¹ × 1217¹

Step-2: 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-3: Factors of 69369

List of positive integer factors of 69369 that divides 69369 without a remainder.

1, 3, 19, 57, 1217, 3651, 23123

Step-4: Factors of 69384

List of positive integer factors of 69384 that divides 69369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69369 and 69384. The biggest common factor number is the GCF number.
So the greatest common factor 69369 and 69384 is 3.

Also check out the Least Common Multiple of 69369 and 69384