What is the Greatest Common Factor of 29814 and 29824?

Greatest common factor (GCF) of 29814 and 29824 is 2.

GCF(29814,29824) = 2

We will now calculate the prime factors of 29814 and 29824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29814 and 29824.

How to find the GCF of 29814 and 29824?

We will first find the prime factorization of 29814 and 29824. After we will calculate the factors of 29814 and 29824 and find the biggest common factor number .

Step-1: Prime Factorization of 29814

Prime factors of 29814 are 2, 3, 4969. Prime factorization of 29814 in exponential form is:

29814 = 2¹ × 3¹ × 4969¹

Step-2: Prime Factorization of 29824

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

29824 = 2⁷ × 233¹

Step-3: Factors of 29814

List of positive integer factors of 29814 that divides 29814 without a remainder.

1, 2, 3, 6, 4969, 9938, 14907

Step-4: Factors of 29824

List of positive integer factors of 29824 that divides 29814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29814 and 29824. The biggest common factor number is the GCF number.
So the greatest common factor 29814 and 29824 is 2.

Also check out the Least Common Multiple of 29814 and 29824