What is the Greatest Common Factor of 30420 and 30429?

Greatest common factor (GCF) of 30420 and 30429 is 9.

GCF(30420,30429) = 9

We will now calculate the prime factors of 30420 and 30429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30420 and 30429.

How to find the GCF of 30420 and 30429?

We will first find the prime factorization of 30420 and 30429. After we will calculate the factors of 30420 and 30429 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 30429

Prime factors of 30429 are 3, 7, 23. Prime factorization of 30429 in exponential form is:

30429 = 3³ × 7² × 23¹

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 30429

List of positive integer factors of 30429 that divides 30420 without a remainder.

1, 3, 7, 9, 21, 23, 27, 49, 63, 69, 147, 161, 189, 207, 441, 483, 621, 1127, 1323, 1449, 3381, 4347, 10143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30420 and 30429. The biggest common factor number is the GCF number.
So the greatest common factor 30420 and 30429 is 9.

Also check out the Least Common Multiple of 30420 and 30429