What is the Greatest Common Factor of 29645 and 29665?

Greatest common factor (GCF) of 29645 and 29665 is 5.

GCF(29645,29665) = 5

We will now calculate the prime factors of 29645 and 29665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29645 and 29665.

How to find the GCF of 29645 and 29665?

We will first find the prime factorization of 29645 and 29665. After we will calculate the factors of 29645 and 29665 and find the biggest common factor number .

Step-1: Prime Factorization of 29645

Prime factors of 29645 are 5, 7, 11. Prime factorization of 29645 in exponential form is:

29645 = 5¹ × 7² × 11²

Step-2: 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-3: Factors of 29645

List of positive integer factors of 29645 that divides 29645 without a remainder.

1, 5, 7, 11, 35, 49, 55, 77, 121, 245, 385, 539, 605, 847, 2695, 4235, 5929

Step-4: Factors of 29665

List of positive integer factors of 29665 that divides 29645 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29645 and 29665. The biggest common factor number is the GCF number.
So the greatest common factor 29645 and 29665 is 5.

Also check out the Least Common Multiple of 29645 and 29665