What is the Greatest Common Factor of 29871 and 29883?

Greatest common factor (GCF) of 29871 and 29883 is 3.

GCF(29871,29883) = 3

We will now calculate the prime factors of 29871 and 29883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29871 and 29883.

How to find the GCF of 29871 and 29883?

We will first find the prime factorization of 29871 and 29883. After we will calculate the factors of 29871 and 29883 and find the biggest common factor number .

Step-1: Prime Factorization of 29871

Prime factors of 29871 are 3, 3319. Prime factorization of 29871 in exponential form is:

29871 = 3² × 3319¹

Step-2: Prime Factorization of 29883

Prime factors of 29883 are 3, 7, 1423. Prime factorization of 29883 in exponential form is:

29883 = 3¹ × 7¹ × 1423¹

Step-3: Factors of 29871

List of positive integer factors of 29871 that divides 29871 without a remainder.

1, 3, 9, 3319, 9957

Step-4: Factors of 29883

List of positive integer factors of 29883 that divides 29871 without a remainder.

1, 3, 7, 21, 1423, 4269, 9961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29871 and 29883. The biggest common factor number is the GCF number.
So the greatest common factor 29871 and 29883 is 3.

Also check out the Least Common Multiple of 29871 and 29883