What is the Greatest Common Factor of 29834 and 29850?

Greatest common factor (GCF) of 29834 and 29850 is 2.

GCF(29834,29850) = 2

We will now calculate the prime factors of 29834 and 29850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29834 and 29850.

How to find the GCF of 29834 and 29850?

We will first find the prime factorization of 29834 and 29850. After we will calculate the factors of 29834 and 29850 and find the biggest common factor number .

Step-1: Prime Factorization of 29834

Prime factors of 29834 are 2, 7, 2131. Prime factorization of 29834 in exponential form is:

29834 = 2¹ × 7¹ × 2131¹

Step-2: 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-3: Factors of 29834

List of positive integer factors of 29834 that divides 29834 without a remainder.

1, 2, 7, 14, 2131, 4262, 14917

Step-4: Factors of 29850

List of positive integer factors of 29850 that divides 29834 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29834 and 29850. The biggest common factor number is the GCF number.
So the greatest common factor 29834 and 29850 is 2.

Also check out the Least Common Multiple of 29834 and 29850