What is the Greatest Common Factor of 69354 and 69360?

Greatest common factor (GCF) of 69354 and 69360 is 6.

GCF(69354,69360) = 6

We will now calculate the prime factors of 69354 and 69360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69354 and 69360.

How to find the GCF of 69354 and 69360?

We will first find the prime factorization of 69354 and 69360. After we will calculate the factors of 69354 and 69360 and find the biggest common factor number .

Step-1: Prime Factorization of 69354

Prime factors of 69354 are 2, 3, 3853. Prime factorization of 69354 in exponential form is:

69354 = 2¹ × 3² × 3853¹

Step-2: 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-3: Factors of 69354

List of positive integer factors of 69354 that divides 69354 without a remainder.

1, 2, 3, 6, 9, 18, 3853, 7706, 11559, 23118, 34677

Step-4: Factors of 69360

List of positive integer factors of 69360 that divides 69354 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69354 and 69360. The biggest common factor number is the GCF number.
So the greatest common factor 69354 and 69360 is 6.

Also check out the Least Common Multiple of 69354 and 69360