What is the Greatest Common Factor of 451 and 462?

Greatest common factor (GCF) of 451 and 462 is 11.

GCF(451,462) = 11

We will now calculate the prime factors of 451 and 462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 451 and 462.

How to find the GCF of 451 and 462?

We will first find the prime factorization of 451 and 462. After we will calculate the factors of 451 and 462 and find the biggest common factor number .

Step-1: Prime Factorization of 451

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

451 = 11¹ × 41¹

Step-2: Prime Factorization of 462

Prime factors of 462 are 2, 3, 7, 11. Prime factorization of 462 in exponential form is:

462 = 2¹ × 3¹ × 7¹ × 11¹

Step-3: Factors of 451

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

1, 11, 41

Step-4: Factors of 462

List of positive integer factors of 462 that divides 451 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 451 and 462. The biggest common factor number is the GCF number.
So the greatest common factor 451 and 462 is 11.

Also check out the Least Common Multiple of 451 and 462