What is the Greatest Common Factor of 441 and 455?

Greatest common factor (GCF) of 441 and 455 is 7.

GCF(441,455) = 7

We will now calculate the prime factors of 441 and 455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 441 and 455.

How to find the GCF of 441 and 455?

We will first find the prime factorization of 441 and 455. After we will calculate the factors of 441 and 455 and find the biggest common factor number .

Step-1: Prime Factorization of 441

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

441 = 3² × 7²

Step-2: Prime Factorization of 455

Prime factors of 455 are 5, 7, 13. Prime factorization of 455 in exponential form is:

455 = 5¹ × 7¹ × 13¹

Step-3: Factors of 441

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

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

Step-4: Factors of 455

List of positive integer factors of 455 that divides 441 without a remainder.

1, 5, 7, 13, 35, 65, 91

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 441 and 455. The biggest common factor number is the GCF number.
So the greatest common factor 441 and 455 is 7.

Also check out the Least Common Multiple of 441 and 455