What is the Greatest Common Factor of 29840 and 29856?

Greatest common factor (GCF) of 29840 and 29856 is 16.

GCF(29840,29856) = 16

We will now calculate the prime factors of 29840 and 29856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29840 and 29856.

How to find the GCF of 29840 and 29856?

We will first find the prime factorization of 29840 and 29856. After we will calculate the factors of 29840 and 29856 and find the biggest common factor number .

Step-1: Prime Factorization of 29840

Prime factors of 29840 are 2, 5, 373. Prime factorization of 29840 in exponential form is:

29840 = 2⁴ × 5¹ × 373¹

Step-2: Prime Factorization of 29856

Prime factors of 29856 are 2, 3, 311. Prime factorization of 29856 in exponential form is:

29856 = 2⁵ × 3¹ × 311¹

Step-3: Factors of 29840

List of positive integer factors of 29840 that divides 29840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 373, 746, 1492, 1865, 2984, 3730, 5968, 7460, 14920

Step-4: Factors of 29856

List of positive integer factors of 29856 that divides 29840 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 311, 622, 933, 1244, 1866, 2488, 3732, 4976, 7464, 9952, 14928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29840 and 29856. The biggest common factor number is the GCF number.
So the greatest common factor 29840 and 29856 is 16.

Also check out the Least Common Multiple of 29840 and 29856