What is the Greatest Common Factor of 29846 and 29854?

Greatest common factor (GCF) of 29846 and 29854 is 2.

GCF(29846,29854) = 2

We will now calculate the prime factors of 29846 and 29854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29846 and 29854.

How to find the GCF of 29846 and 29854?

We will first find the prime factorization of 29846 and 29854. After we will calculate the factors of 29846 and 29854 and find the biggest common factor number .

Step-1: Prime Factorization of 29846

Prime factors of 29846 are 2, 14923. Prime factorization of 29846 in exponential form is:

29846 = 2¹ × 14923¹

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 29846

List of positive integer factors of 29846 that divides 29846 without a remainder.

1, 2, 14923

Step-4: Factors of 29854

List of positive integer factors of 29854 that divides 29846 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 29846 and 29854. The biggest common factor number is the GCF number.
So the greatest common factor 29846 and 29854 is 2.

Also check out the Least Common Multiple of 29846 and 29854