What is the Greatest Common Factor of 69360 and 69367?

Greatest common factor (GCF) of 69360 and 69367 is 1.

GCF(69360,69367) = 1

We will now calculate the prime factors of 69360 and 69367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69360 and 69367.

How to find the GCF of 69360 and 69367?

We will first find the prime factorization of 69360 and 69367. After we will calculate the factors of 69360 and 69367 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 69367

Prime factors of 69367 are 71, 977. Prime factorization of 69367 in exponential form is:

69367 = 71¹ × 977¹

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 69367

List of positive integer factors of 69367 that divides 69360 without a remainder.

1, 71, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69360 and 69367. The biggest common factor number is the GCF number.
So the greatest common factor 69360 and 69367 is 1.

Also check out the Least Common Multiple of 69360 and 69367