What is the Greatest Common Factor of 69348 and 69360?

Greatest common factor (GCF) of 69348 and 69360 is 12.

GCF(69348,69360) = 12

We will now calculate the prime factors of 69348 and 69360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69348 and 69360.

How to find the GCF of 69348 and 69360?

We will first find the prime factorization of 69348 and 69360. After we will calculate the factors of 69348 and 69360 and find the biggest common factor number .

Step-1: Prime Factorization of 69348

Prime factors of 69348 are 2, 3, 5779. Prime factorization of 69348 in exponential form is:

69348 = 2² × 3¹ × 5779¹

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 69348

List of positive integer factors of 69348 that divides 69348 without a remainder.

1, 2, 3, 4, 6, 12, 5779, 11558, 17337, 23116, 34674

Step-4: Factors of 69360

List of positive integer factors of 69360 that divides 69348 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 69348 and 69360. The biggest common factor number is the GCF number.
So the greatest common factor 69348 and 69360 is 12.

Also check out the Least Common Multiple of 69348 and 69360