What is the Greatest Common Factor of 69270 and 69280?

Greatest common factor (GCF) of 69270 and 69280 is 10.

GCF(69270,69280) = 10

We will now calculate the prime factors of 69270 and 69280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69270 and 69280.

How to find the GCF of 69270 and 69280?

We will first find the prime factorization of 69270 and 69280. After we will calculate the factors of 69270 and 69280 and find the biggest common factor number .

Step-1: Prime Factorization of 69270

Prime factors of 69270 are 2, 3, 5, 2309. Prime factorization of 69270 in exponential form is:

69270 = 2¹ × 3¹ × 5¹ × 2309¹

Step-2: Prime Factorization of 69280

Prime factors of 69280 are 2, 5, 433. Prime factorization of 69280 in exponential form is:

69280 = 2⁵ × 5¹ × 433¹

Step-3: Factors of 69270

List of positive integer factors of 69270 that divides 69270 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2309, 4618, 6927, 11545, 13854, 23090, 34635

Step-4: Factors of 69280

List of positive integer factors of 69280 that divides 69270 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 433, 866, 1732, 2165, 3464, 4330, 6928, 8660, 13856, 17320, 34640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69270 and 69280. The biggest common factor number is the GCF number.
So the greatest common factor 69270 and 69280 is 10.

Also check out the Least Common Multiple of 69270 and 69280