What is the Greatest Common Factor of 445 and 455?

Greatest common factor (GCF) of 445 and 455 is 5.

GCF(445,455) = 5

We will now calculate the prime factors of 445 and 455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 445 and 455.

How to find the GCF of 445 and 455?

We will first find the prime factorization of 445 and 455. After we will calculate the factors of 445 and 455 and find the biggest common factor number .

Step-1: Prime Factorization of 445

Prime factors of 445 are 5, 89. Prime factorization of 445 in exponential form is:

445 = 5¹ × 89¹

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 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89

Step-4: Factors of 455

List of positive integer factors of 455 that divides 445 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 445 and 455. The biggest common factor number is the GCF number.
So the greatest common factor 445 and 455 is 5.

Also check out the Least Common Multiple of 445 and 455