What is the Greatest Common Factor of 29872 and 29884?

Greatest common factor (GCF) of 29872 and 29884 is 4.

GCF(29872,29884) = 4

We will now calculate the prime factors of 29872 and 29884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29872 and 29884.

How to find the GCF of 29872 and 29884?

We will first find the prime factorization of 29872 and 29884. After we will calculate the factors of 29872 and 29884 and find the biggest common factor number .

Step-1: Prime Factorization of 29872

Prime factors of 29872 are 2, 1867. Prime factorization of 29872 in exponential form is:

29872 = 2⁴ × 1867¹

Step-2: Prime Factorization of 29884

Prime factors of 29884 are 2, 31, 241. Prime factorization of 29884 in exponential form is:

29884 = 2² × 31¹ × 241¹

Step-3: Factors of 29872

List of positive integer factors of 29872 that divides 29872 without a remainder.

1, 2, 4, 8, 16, 1867, 3734, 7468, 14936

Step-4: Factors of 29884

List of positive integer factors of 29884 that divides 29872 without a remainder.

1, 2, 4, 31, 62, 124, 241, 482, 964, 7471, 14942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29872 and 29884. The biggest common factor number is the GCF number.
So the greatest common factor 29872 and 29884 is 4.

Also check out the Least Common Multiple of 29872 and 29884