What is the Greatest Common Factor of 29508 and 29514?

Greatest common factor (GCF) of 29508 and 29514 is 6.

GCF(29508,29514) = 6

We will now calculate the prime factors of 29508 and 29514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29508 and 29514.

How to find the GCF of 29508 and 29514?

We will first find the prime factorization of 29508 and 29514. After we will calculate the factors of 29508 and 29514 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 29514

Prime factors of 29514 are 2, 3, 4919. Prime factorization of 29514 in exponential form is:

29514 = 2¹ × 3¹ × 4919¹

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 29514

List of positive integer factors of 29514 that divides 29508 without a remainder.

1, 2, 3, 6, 4919, 9838, 14757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29508 and 29514. The biggest common factor number is the GCF number.
So the greatest common factor 29508 and 29514 is 6.

Also check out the Least Common Multiple of 29508 and 29514