What is the Greatest Common Factor of 448 and 455?

Greatest common factor (GCF) of 448 and 455 is 7.

GCF(448,455) = 7

We will now calculate the prime factors of 448 and 455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 448 and 455.

How to find the GCF of 448 and 455?

We will first find the prime factorization of 448 and 455. After we will calculate the factors of 448 and 455 and find the biggest common factor number .

Step-1: Prime Factorization of 448

Prime factors of 448 are 2, 7. Prime factorization of 448 in exponential form is:

448 = 2⁶ × 7¹

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 448

List of positive integer factors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224

Step-4: Factors of 455

List of positive integer factors of 455 that divides 448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 448 and 455. The biggest common factor number is the GCF number.
So the greatest common factor 448 and 455 is 7.

Also check out the Least Common Multiple of 448 and 455