What is the Greatest Common Factor of 429 and 441?

Greatest common factor (GCF) of 429 and 441 is 3.

GCF(429,441) = 3

We will now calculate the prime factors of 429 and 441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 429 and 441.

How to find the GCF of 429 and 441?

We will first find the prime factorization of 429 and 441. After we will calculate the factors of 429 and 441 and find the biggest common factor number .

Step-1: Prime Factorization of 429

Prime factors of 429 are 3, 11, 13. Prime factorization of 429 in exponential form is:

429 = 3¹ × 11¹ × 13¹

Step-2: Prime Factorization of 441

Prime factors of 441 are 3, 7. Prime factorization of 441 in exponential form is:

441 = 3² × 7²

Step-3: Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143

Step-4: Factors of 441

List of positive integer factors of 441 that divides 429 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 429 and 441. The biggest common factor number is the GCF number.
So the greatest common factor 429 and 441 is 3.

Also check out the Least Common Multiple of 429 and 441