What is the Greatest Common Factor of 29850 and 29854?

Greatest common factor (GCF) of 29850 and 29854 is 2.

GCF(29850,29854) = 2

We will now calculate the prime factors of 29850 and 29854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29850 and 29854.

How to find the GCF of 29850 and 29854?

We will first find the prime factorization of 29850 and 29854. After we will calculate the factors of 29850 and 29854 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 29854

Prime factors of 29854 are 2, 11, 23, 59. Prime factorization of 29854 in exponential form is:

29854 = 2¹ × 11¹ × 23¹ × 59¹

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 29854

List of positive integer factors of 29854 that divides 29850 without a remainder.

1, 2, 11, 22, 23, 46, 59, 118, 253, 506, 649, 1298, 1357, 2714, 14927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29850 and 29854. The biggest common factor number is the GCF number.
So the greatest common factor 29850 and 29854 is 2.

Also check out the Least Common Multiple of 29850 and 29854