What is the Greatest Common Factor of 29688 and 29708?

Greatest common factor (GCF) of 29688 and 29708 is 4.

GCF(29688,29708) = 4

We will now calculate the prime factors of 29688 and 29708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29688 and 29708.

How to find the GCF of 29688 and 29708?

We will first find the prime factorization of 29688 and 29708. After we will calculate the factors of 29688 and 29708 and find the biggest common factor number .

Step-1: Prime Factorization of 29688

Prime factors of 29688 are 2, 3, 1237. Prime factorization of 29688 in exponential form is:

29688 = 2³ × 3¹ × 1237¹

Step-2: Prime Factorization of 29708

Prime factors of 29708 are 2, 7, 1061. Prime factorization of 29708 in exponential form is:

29708 = 2² × 7¹ × 1061¹

Step-3: Factors of 29688

List of positive integer factors of 29688 that divides 29688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1237, 2474, 3711, 4948, 7422, 9896, 14844

Step-4: Factors of 29708

List of positive integer factors of 29708 that divides 29688 without a remainder.

1, 2, 4, 7, 14, 28, 1061, 2122, 4244, 7427, 14854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29688 and 29708. The biggest common factor number is the GCF number.
So the greatest common factor 29688 and 29708 is 4.

Also check out the Least Common Multiple of 29688 and 29708