What is the Greatest Common Factor of 29850 and 29859?

Greatest common factor (GCF) of 29850 and 29859 is 3.

GCF(29850,29859) = 3

We will now calculate the prime factors of 29850 and 29859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29850 and 29859.

How to find the GCF of 29850 and 29859?

We will first find the prime factorization of 29850 and 29859. After we will calculate the factors of 29850 and 29859 and find the biggest common factor number .

Step-1: Prime Factorization of 29850

Prime factors of 29850 are 2, 3, 5, 199. Prime factorization of 29850 in exponential form is:

29850 = 2¹ × 3¹ × 5² × 199¹

Step-2: Prime Factorization of 29859

Prime factors of 29859 are 3, 37, 269. Prime factorization of 29859 in exponential form is:

29859 = 3¹ × 37¹ × 269¹

Step-3: Factors of 29850

List of positive integer factors of 29850 that divides 29850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 199, 398, 597, 995, 1194, 1990, 2985, 4975, 5970, 9950, 14925

Step-4: Factors of 29859

List of positive integer factors of 29859 that divides 29850 without a remainder.

1, 3, 37, 111, 269, 807, 9953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29850 and 29859. The biggest common factor number is the GCF number.
So the greatest common factor 29850 and 29859 is 3.

Also check out the Least Common Multiple of 29850 and 29859