What is the Greatest Common Factor of 428 and 441?

Greatest common factor (GCF) of 428 and 441 is 1.

GCF(428,441) = 1

We will now calculate the prime factors of 428 and 441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 428 and 441.

How to find the GCF of 428 and 441?

We will first find the prime factorization of 428 and 441. After we will calculate the factors of 428 and 441 and find the biggest common factor number .

Step-1: Prime Factorization of 428

Prime factors of 428 are 2, 107. Prime factorization of 428 in exponential form is:

428 = 2² × 107¹

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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214

Step-4: Factors of 441

List of positive integer factors of 441 that divides 428 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 428 and 441. The biggest common factor number is the GCF number.
So the greatest common factor 428 and 441 is 1.

Also check out the Least Common Multiple of 428 and 441