What is the Greatest Common Factor of 30420 and 30437?

Greatest common factor (GCF) of 30420 and 30437 is 1.

GCF(30420,30437) = 1

We will now calculate the prime factors of 30420 and 30437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30420 and 30437.

How to find the GCF of 30420 and 30437?

We will first find the prime factorization of 30420 and 30437. After we will calculate the factors of 30420 and 30437 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 30437

Prime factors of 30437 are 11, 2767. Prime factorization of 30437 in exponential form is:

30437 = 11¹ × 2767¹

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 30437

List of positive integer factors of 30437 that divides 30420 without a remainder.

1, 11, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30420 and 30437. The biggest common factor number is the GCF number.
So the greatest common factor 30420 and 30437 is 1.

Also check out the Least Common Multiple of 30420 and 30437