What is the Greatest Common Factor of 4417 and 4431?

Greatest common factor (GCF) of 4417 and 4431 is 7.

GCF(4417,4431) = 7

We will now calculate the prime factors of 4417 and 4431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4417 and 4431.

How to find the GCF of 4417 and 4431?

We will first find the prime factorization of 4417 and 4431. After we will calculate the factors of 4417 and 4431 and find the biggest common factor number .

Step-1: Prime Factorization of 4417

Prime factors of 4417 are 7, 631. Prime factorization of 4417 in exponential form is:

4417 = 7¹ × 631¹

Step-2: Prime Factorization of 4431

Prime factors of 4431 are 3, 7, 211. Prime factorization of 4431 in exponential form is:

4431 = 3¹ × 7¹ × 211¹

Step-3: Factors of 4417

List of positive integer factors of 4417 that divides 4417 without a remainder.

1, 7, 631

Step-4: Factors of 4431

List of positive integer factors of 4431 that divides 4417 without a remainder.

1, 3, 7, 21, 211, 633, 1477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4417 and 4431. The biggest common factor number is the GCF number.
So the greatest common factor 4417 and 4431 is 7.

Also check out the Least Common Multiple of 4417 and 4431