What is the Greatest Common Factor of 30560 and 30575?

Greatest common factor (GCF) of 30560 and 30575 is 5.

GCF(30560,30575) = 5

We will now calculate the prime factors of 30560 and 30575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30560 and 30575.

How to find the GCF of 30560 and 30575?

We will first find the prime factorization of 30560 and 30575. After we will calculate the factors of 30560 and 30575 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 30575

Prime factors of 30575 are 5, 1223. Prime factorization of 30575 in exponential form is:

30575 = 5² × 1223¹

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 30575

List of positive integer factors of 30575 that divides 30560 without a remainder.

1, 5, 25, 1223, 6115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30560 and 30575. The biggest common factor number is the GCF number.
So the greatest common factor 30560 and 30575 is 5.

Also check out the Least Common Multiple of 30560 and 30575