What is the Greatest Common Factor of 29688 and 29701?

Greatest common factor (GCF) of 29688 and 29701 is 1.

GCF(29688,29701) = 1

We will now calculate the prime factors of 29688 and 29701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29688 and 29701.

How to find the GCF of 29688 and 29701?

We will first find the prime factorization of 29688 and 29701. After we will calculate the factors of 29688 and 29701 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 29701

Prime factors of 29701 are 7, 4243. Prime factorization of 29701 in exponential form is:

29701 = 7¹ × 4243¹

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 29701

List of positive integer factors of 29701 that divides 29688 without a remainder.

1, 7, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29688 and 29701. The biggest common factor number is the GCF number.
So the greatest common factor 29688 and 29701 is 1.

Also check out the Least Common Multiple of 29688 and 29701