What is the Greatest Common Factor of 29335 and 29340?

Greatest common factor (GCF) of 29335 and 29340 is 5.

GCF(29335,29340) = 5

We will now calculate the prime factors of 29335 and 29340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29335 and 29340.

How to find the GCF of 29335 and 29340?

We will first find the prime factorization of 29335 and 29340. After we will calculate the factors of 29335 and 29340 and find the biggest common factor number .

Step-1: Prime Factorization of 29335

Prime factors of 29335 are 5, 5867. Prime factorization of 29335 in exponential form is:

29335 = 5¹ × 5867¹

Step-2: Prime Factorization of 29340

Prime factors of 29340 are 2, 3, 5, 163. Prime factorization of 29340 in exponential form is:

29340 = 2² × 3² × 5¹ × 163¹

Step-3: Factors of 29335

List of positive integer factors of 29335 that divides 29335 without a remainder.

1, 5, 5867

Step-4: Factors of 29340

List of positive integer factors of 29340 that divides 29335 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 163, 180, 326, 489, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4890, 5868, 7335, 9780, 14670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29335 and 29340. The biggest common factor number is the GCF number.
So the greatest common factor 29335 and 29340 is 5.

Also check out the Least Common Multiple of 29335 and 29340