What is the Greatest Common Factor of 29508 and 29517?

Greatest common factor (GCF) of 29508 and 29517 is 3.

GCF(29508,29517) = 3

We will now calculate the prime factors of 29508 and 29517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29508 and 29517.

How to find the GCF of 29508 and 29517?

We will first find the prime factorization of 29508 and 29517. After we will calculate the factors of 29508 and 29517 and find the biggest common factor number .

Step-1: Prime Factorization of 29508

Prime factors of 29508 are 2, 3, 2459. Prime factorization of 29508 in exponential form is:

29508 = 2² × 3¹ × 2459¹

Step-2: Prime Factorization of 29517

Prime factors of 29517 are 3, 9839. Prime factorization of 29517 in exponential form is:

29517 = 3¹ × 9839¹

Step-3: Factors of 29508

List of positive integer factors of 29508 that divides 29508 without a remainder.

1, 2, 3, 4, 6, 12, 2459, 4918, 7377, 9836, 14754

Step-4: Factors of 29517

List of positive integer factors of 29517 that divides 29508 without a remainder.

1, 3, 9839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29508 and 29517. The biggest common factor number is the GCF number.
So the greatest common factor 29508 and 29517 is 3.

Also check out the Least Common Multiple of 29508 and 29517