What is the Greatest Common Factor of 30420 and 30430?

Greatest common factor (GCF) of 30420 and 30430 is 10.

GCF(30420,30430) = 10

We will now calculate the prime factors of 30420 and 30430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30420 and 30430.

How to find the GCF of 30420 and 30430?

We will first find the prime factorization of 30420 and 30430. After we will calculate the factors of 30420 and 30430 and find the biggest common factor number .

Step-1: Prime Factorization of 30420

Prime factors of 30420 are 2, 3, 5, 13. Prime factorization of 30420 in exponential form is:

30420 = 2² × 3² × 5¹ × 13²

Step-2: Prime Factorization of 30430

Prime factors of 30430 are 2, 5, 17, 179. Prime factorization of 30430 in exponential form is:

30430 = 2¹ × 5¹ × 17¹ × 179¹

Step-3: Factors of 30420

List of positive integer factors of 30420 that divides 30420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 169, 180, 195, 234, 260, 338, 390, 468, 507, 585, 676, 780, 845, 1014, 1170, 1521, 1690, 2028, 2340, 2535, 3042, 3380, 5070, 6084, 7605, 10140, 15210

Step-4: Factors of 30430

List of positive integer factors of 30430 that divides 30420 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 179, 358, 895, 1790, 3043, 6086, 15215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30420 and 30430. The biggest common factor number is the GCF number.
So the greatest common factor 30420 and 30430 is 10.

Also check out the Least Common Multiple of 30420 and 30430