What is the Greatest Common Factor of 8417 and 8437?

Greatest common factor (GCF) of 8417 and 8437 is 1.

GCF(8417,8437) = 1

We will now calculate the prime factors of 8417 and 8437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8417 and 8437.

How to find the GCF of 8417 and 8437?

We will first find the prime factorization of 8417 and 8437. After we will calculate the factors of 8417 and 8437 and find the biggest common factor number .

Step-1: Prime Factorization of 8417

Prime factors of 8417 are 19, 443. Prime factorization of 8417 in exponential form is:

8417 = 19¹ × 443¹

Step-2: Prime Factorization of 8437

Prime factors of 8437 are 11, 13, 59. Prime factorization of 8437 in exponential form is:

8437 = 11¹ × 13¹ × 59¹

Step-3: Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1, 19, 443

Step-4: Factors of 8437

List of positive integer factors of 8437 that divides 8417 without a remainder.

1, 11, 13, 59, 143, 649, 767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8417 and 8437. The biggest common factor number is the GCF number.
So the greatest common factor 8417 and 8437 is 1.

Also check out the Least Common Multiple of 8417 and 8437