What is the Greatest Common Factor of 69360 and 69372?

Greatest common factor (GCF) of 69360 and 69372 is 12.

GCF(69360,69372) = 12

We will now calculate the prime factors of 69360 and 69372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69360 and 69372.

How to find the GCF of 69360 and 69372?

We will first find the prime factorization of 69360 and 69372. After we will calculate the factors of 69360 and 69372 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 69372

Prime factors of 69372 are 2, 3, 41, 47. Prime factorization of 69372 in exponential form is:

69372 = 2² × 3² × 41¹ × 47¹

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 69372

List of positive integer factors of 69372 that divides 69360 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 47, 82, 94, 123, 141, 164, 188, 246, 282, 369, 423, 492, 564, 738, 846, 1476, 1692, 1927, 3854, 5781, 7708, 11562, 17343, 23124, 34686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69360 and 69372. The biggest common factor number is the GCF number.
So the greatest common factor 69360 and 69372 is 12.

Also check out the Least Common Multiple of 69360 and 69372