What is the Greatest Common Factor of 29854 and 29864?

Greatest common factor (GCF) of 29854 and 29864 is 2.

GCF(29854,29864) = 2

We will now calculate the prime factors of 29854 and 29864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29854 and 29864.

How to find the GCF of 29854 and 29864?

We will first find the prime factorization of 29854 and 29864. After we will calculate the factors of 29854 and 29864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29864

Prime factors of 29864 are 2, 3733. Prime factorization of 29864 in exponential form is:

29864 = 2³ × 3733¹

Step-3: Factors of 29854

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

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

Step-4: Factors of 29864

List of positive integer factors of 29864 that divides 29854 without a remainder.

1, 2, 4, 8, 3733, 7466, 14932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29854 and 29864. The biggest common factor number is the GCF number.
So the greatest common factor 29854 and 29864 is 2.

Also check out the Least Common Multiple of 29854 and 29864