What is the Greatest Common Factor of 455 and 462?

Greatest common factor (GCF) of 455 and 462 is 7.

GCF(455,462) = 7

We will now calculate the prime factors of 455 and 462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 455 and 462.

How to find the GCF of 455 and 462?

We will first find the prime factorization of 455 and 462. After we will calculate the factors of 455 and 462 and find the biggest common factor number .

Step-1: 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-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 455

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

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

Step-4: Factors of 462

List of positive integer factors of 462 that divides 455 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 455 and 462. The biggest common factor number is the GCF number.
So the greatest common factor 455 and 462 is 7.

Also check out the Least Common Multiple of 455 and 462