What is the Greatest Common Factor of 29824 and 29840?

Greatest common factor (GCF) of 29824 and 29840 is 16.

GCF(29824,29840) = 16

We will now calculate the prime factors of 29824 and 29840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29824 and 29840.

How to find the GCF of 29824 and 29840?

We will first find the prime factorization of 29824 and 29840. After we will calculate the factors of 29824 and 29840 and find the biggest common factor number .

Step-1: Prime Factorization of 29824

Prime factors of 29824 are 2, 233. Prime factorization of 29824 in exponential form is:

29824 = 2⁷ × 233¹

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 29824

List of positive integer factors of 29824 that divides 29824 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 233, 466, 932, 1864, 3728, 7456, 14912

Step-4: Factors of 29840

List of positive integer factors of 29840 that divides 29824 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 29824 and 29840. The biggest common factor number is the GCF number.
So the greatest common factor 29824 and 29840 is 16.

Also check out the Least Common Multiple of 29824 and 29840