What is the Greatest Common Factor of 69360 and 69369?

Greatest common factor (GCF) of 69360 and 69369 is 3.

GCF(69360,69369) = 3

We will now calculate the prime factors of 69360 and 69369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69360 and 69369.

How to find the GCF of 69360 and 69369?

We will first find the prime factorization of 69360 and 69369. After we will calculate the factors of 69360 and 69369 and find the biggest common factor number .

Step-1: Prime Factorization of 69360

Prime factors of 69360 are 2, 3, 5, 17. Prime factorization of 69360 in exponential form is:

69360 = 2⁴ × 3¹ × 5¹ × 17²

Step-2: 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-3: Factors of 69360

List of positive integer factors of 69360 that divides 69360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 34, 40, 48, 51, 60, 68, 80, 85, 102, 120, 136, 170, 204, 240, 255, 272, 289, 340, 408, 510, 578, 680, 816, 867, 1020, 1156, 1360, 1445, 1734, 2040, 2312, 2890, 3468, 4080, 4335, 4624, 5780, 6936, 8670, 11560, 13872, 17340, 23120, 34680

Step-4: Factors of 69369

List of positive integer factors of 69369 that divides 69360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69360 and 69369. The biggest common factor number is the GCF number.
So the greatest common factor 69360 and 69369 is 3.

Also check out the Least Common Multiple of 69360 and 69369