What is the Greatest Common Factor of 29688 and 29692?

Greatest common factor (GCF) of 29688 and 29692 is 4.

GCF(29688,29692) = 4

We will now calculate the prime factors of 29688 and 29692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29688 and 29692.

How to find the GCF of 29688 and 29692?

We will first find the prime factorization of 29688 and 29692. After we will calculate the factors of 29688 and 29692 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 29692

Prime factors of 29692 are 2, 13, 571. Prime factorization of 29692 in exponential form is:

29692 = 2² × 13¹ × 571¹

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 29692

List of positive integer factors of 29692 that divides 29688 without a remainder.

1, 2, 4, 13, 26, 52, 571, 1142, 2284, 7423, 14846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29688 and 29692. The biggest common factor number is the GCF number.
So the greatest common factor 29688 and 29692 is 4.

Also check out the Least Common Multiple of 29688 and 29692