What is the Greatest Common Factor of 29835 and 29840?

Greatest common factor (GCF) of 29835 and 29840 is 5.

GCF(29835,29840) = 5

We will now calculate the prime factors of 29835 and 29840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29835 and 29840.

How to find the GCF of 29835 and 29840?

We will first find the prime factorization of 29835 and 29840. After we will calculate the factors of 29835 and 29840 and find the biggest common factor number .

Step-1: Prime Factorization of 29835

Prime factors of 29835 are 3, 5, 13, 17. Prime factorization of 29835 in exponential form is:

29835 = 3³ × 5¹ × 13¹ × 17¹

Step-2: 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-3: Factors of 29835

List of positive integer factors of 29835 that divides 29835 without a remainder.

1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 85, 117, 135, 153, 195, 221, 255, 351, 459, 585, 663, 765, 1105, 1755, 1989, 2295, 3315, 5967, 9945

Step-4: Factors of 29840

List of positive integer factors of 29840 that divides 29835 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29835 and 29840. The biggest common factor number is the GCF number.
So the greatest common factor 29835 and 29840 is 5.

Also check out the Least Common Multiple of 29835 and 29840