What is the Greatest Common Factor of 441 and 451?

Greatest common factor (GCF) of 441 and 451 is 1.

GCF(441,451) = 1

We will now calculate the prime factors of 441 and 451, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 441 and 451.

How to find the GCF of 441 and 451?

We will first find the prime factorization of 441 and 451. After we will calculate the factors of 441 and 451 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 451

Prime factors of 451 are 11, 41. Prime factorization of 451 in exponential form is:

451 = 11¹ × 41¹

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 451

List of positive integer factors of 451 that divides 441 without a remainder.

1, 11, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 441 and 451. The biggest common factor number is the GCF number.
So the greatest common factor 441 and 451 is 1.

Also check out the Least Common Multiple of 441 and 451