What is the Greatest Common Factor of 29883 and 29901?

Greatest common factor (GCF) of 29883 and 29901 is 3.

GCF(29883,29901) = 3

We will now calculate the prime factors of 29883 and 29901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29883 and 29901.

How to find the GCF of 29883 and 29901?

We will first find the prime factorization of 29883 and 29901. After we will calculate the factors of 29883 and 29901 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29901

Prime factors of 29901 are 3, 9967. Prime factorization of 29901 in exponential form is:

29901 = 3¹ × 9967¹

Step-3: Factors of 29883

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

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

Step-4: Factors of 29901

List of positive integer factors of 29901 that divides 29883 without a remainder.

1, 3, 9967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29883 and 29901. The biggest common factor number is the GCF number.
So the greatest common factor 29883 and 29901 is 3.

Also check out the Least Common Multiple of 29883 and 29901