What is the Greatest Common Factor of 69360 and 69380?

Greatest common factor (GCF) of 69360 and 69380 is 20.

GCF(69360,69380) = 20

We will now calculate the prime factors of 69360 and 69380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69360 and 69380.

How to find the GCF of 69360 and 69380?

We will first find the prime factorization of 69360 and 69380. After we will calculate the factors of 69360 and 69380 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 69380

Prime factors of 69380 are 2, 5, 3469. Prime factorization of 69380 in exponential form is:

69380 = 2² × 5¹ × 3469¹

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 69380

List of positive integer factors of 69380 that divides 69360 without a remainder.

1, 2, 4, 5, 10, 20, 3469, 6938, 13876, 17345, 34690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69360 and 69380. The biggest common factor number is the GCF number.
So the greatest common factor 69360 and 69380 is 20.

Also check out the Least Common Multiple of 69360 and 69380