What is the Greatest Common Factor of 69384 and 69399?

Greatest common factor (GCF) of 69384 and 69399 is 3.

GCF(69384,69399) = 3

We will now calculate the prime factors of 69384 and 69399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69384 and 69399.

How to find the GCF of 69384 and 69399?

We will first find the prime factorization of 69384 and 69399. After we will calculate the factors of 69384 and 69399 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 69399

Prime factors of 69399 are 3, 11, 701. Prime factorization of 69399 in exponential form is:

69399 = 3² × 11¹ × 701¹

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 69399

List of positive integer factors of 69399 that divides 69384 without a remainder.

1, 3, 9, 11, 33, 99, 701, 2103, 6309, 7711, 23133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69384 and 69399. The biggest common factor number is the GCF number.
So the greatest common factor 69384 and 69399 is 3.

Also check out the Least Common Multiple of 69384 and 69399