What is the Greatest Common Factor of 29838 and 29854?

Greatest common factor (GCF) of 29838 and 29854 is 2.

GCF(29838,29854) = 2

We will now calculate the prime factors of 29838 and 29854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29838 and 29854.

How to find the GCF of 29838 and 29854?

We will first find the prime factorization of 29838 and 29854. After we will calculate the factors of 29838 and 29854 and find the biggest common factor number .

Step-1: Prime Factorization of 29838

Prime factors of 29838 are 2, 3, 4973. Prime factorization of 29838 in exponential form is:

29838 = 2¹ × 3¹ × 4973¹

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 29838

List of positive integer factors of 29838 that divides 29838 without a remainder.

1, 2, 3, 6, 4973, 9946, 14919

Step-4: Factors of 29854

List of positive integer factors of 29854 that divides 29838 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 29838 and 29854. The biggest common factor number is the GCF number.
So the greatest common factor 29838 and 29854 is 2.

Also check out the Least Common Multiple of 29838 and 29854