What is the Greatest Common Factor of 17067 and 17076?

Greatest common factor (GCF) of 17067 and 17076 is 3.

GCF(17067,17076) = 3

We will now calculate the prime factors of 17067 and 17076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17067 and 17076.

How to find the GCF of 17067 and 17076?

We will first find the prime factorization of 17067 and 17076. After we will calculate the factors of 17067 and 17076 and find the biggest common factor number .

Step-1: Prime Factorization of 17067

Prime factors of 17067 are 3, 5689. Prime factorization of 17067 in exponential form is:

17067 = 3¹ × 5689¹

Step-2: Prime Factorization of 17076

Prime factors of 17076 are 2, 3, 1423. Prime factorization of 17076 in exponential form is:

17076 = 2² × 3¹ × 1423¹

Step-3: Factors of 17067

List of positive integer factors of 17067 that divides 17067 without a remainder.

1, 3, 5689

Step-4: Factors of 17076

List of positive integer factors of 17076 that divides 17067 without a remainder.

1, 2, 3, 4, 6, 12, 1423, 2846, 4269, 5692, 8538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17067 and 17076. The biggest common factor number is the GCF number.
So the greatest common factor 17067 and 17076 is 3.

Also check out the Least Common Multiple of 17067 and 17076