What is the Greatest Common Factor of 435 and 441?

Greatest common factor (GCF) of 435 and 441 is 3.

GCF(435,441) = 3

We will now calculate the prime factors of 435 and 441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 435 and 441.

How to find the GCF of 435 and 441?

We will first find the prime factorization of 435 and 441. After we will calculate the factors of 435 and 441 and find the biggest common factor number .

Step-1: Prime Factorization of 435

Prime factors of 435 are 3, 5, 29. Prime factorization of 435 in exponential form is:

435 = 3¹ × 5¹ × 29¹

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 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145

Step-4: Factors of 441

List of positive integer factors of 441 that divides 435 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 435 and 441. The biggest common factor number is the GCF number.
So the greatest common factor 435 and 441 is 3.

Also check out the Least Common Multiple of 435 and 441