What is the Greatest Common Factor of 30560 and 30570?

Greatest common factor (GCF) of 30560 and 30570 is 10.

GCF(30560,30570) = 10

We will now calculate the prime factors of 30560 and 30570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30560 and 30570.

How to find the GCF of 30560 and 30570?

We will first find the prime factorization of 30560 and 30570. After we will calculate the factors of 30560 and 30570 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 30570

Prime factors of 30570 are 2, 3, 5, 1019. Prime factorization of 30570 in exponential form is:

30570 = 2¹ × 3¹ × 5¹ × 1019¹

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 30570

List of positive integer factors of 30570 that divides 30560 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1019, 2038, 3057, 5095, 6114, 10190, 15285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30560 and 30570. The biggest common factor number is the GCF number.
So the greatest common factor 30560 and 30570 is 10.

Also check out the Least Common Multiple of 30560 and 30570