What is the Greatest Common Factor of 30560 and 30569?

Greatest common factor (GCF) of 30560 and 30569 is 1.

GCF(30560,30569) = 1

We will now calculate the prime factors of 30560 and 30569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30560 and 30569.

How to find the GCF of 30560 and 30569?

We will first find the prime factorization of 30560 and 30569. After we will calculate the factors of 30560 and 30569 and find the biggest common factor number .

Step-1: Prime Factorization of 30560

Prime factors of 30560 are 2, 5, 191. Prime factorization of 30560 in exponential form is:

30560 = 2⁵ × 5¹ × 191¹

Step-2: Prime Factorization of 30569

Prime factors of 30569 are 7, 11, 397. Prime factorization of 30569 in exponential form is:

30569 = 7¹ × 11¹ × 397¹

Step-3: Factors of 30560

List of positive integer factors of 30560 that divides 30560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 191, 382, 764, 955, 1528, 1910, 3056, 3820, 6112, 7640, 15280

Step-4: Factors of 30569

List of positive integer factors of 30569 that divides 30560 without a remainder.

1, 7, 11, 77, 397, 2779, 4367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30560 and 30569. The biggest common factor number is the GCF number.
So the greatest common factor 30560 and 30569 is 1.

Also check out the Least Common Multiple of 30560 and 30569