What is the Greatest Common Factor of 30420 and 30439?

Greatest common factor (GCF) of 30420 and 30439 is 1.

GCF(30420,30439) = 1

We will now calculate the prime factors of 30420 and 30439, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30420 and 30439.

How to find the GCF of 30420 and 30439?

We will first find the prime factorization of 30420 and 30439. After we will calculate the factors of 30420 and 30439 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 30439

Prime factors of 30439 are 61, 499. Prime factorization of 30439 in exponential form is:

30439 = 61¹ × 499¹

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 30439

List of positive integer factors of 30439 that divides 30420 without a remainder.

1, 61, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30420 and 30439. The biggest common factor number is the GCF number.
So the greatest common factor 30420 and 30439 is 1.

Also check out the Least Common Multiple of 30420 and 30439