What is the Greatest Common Factor of 29665 and 29671?

Greatest common factor (GCF) of 29665 and 29671 is 1.

GCF(29665,29671) = 1

We will now calculate the prime factors of 29665 and 29671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29665 and 29671.

How to find the GCF of 29665 and 29671?

We will first find the prime factorization of 29665 and 29671. After we will calculate the factors of 29665 and 29671 and find the biggest common factor number .

Step-1: Prime Factorization of 29665

Prime factors of 29665 are 5, 17, 349. Prime factorization of 29665 in exponential form is:

29665 = 5¹ × 17¹ × 349¹

Step-2: Prime Factorization of 29671

Prime factors of 29671 are 29671. Prime factorization of 29671 in exponential form is:

29671 = 29671¹

Step-3: Factors of 29665

List of positive integer factors of 29665 that divides 29665 without a remainder.

1, 5, 17, 85, 349, 1745, 5933

Step-4: Factors of 29671

List of positive integer factors of 29671 that divides 29665 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29665 and 29671. The biggest common factor number is the GCF number.
So the greatest common factor 29665 and 29671 is 1.

Also check out the Least Common Multiple of 29665 and 29671