What is the Greatest Common Factor of 29904 and 29918?

Greatest common factor (GCF) of 29904 and 29918 is 14.

GCF(29904,29918) = 14

We will now calculate the prime factors of 29904 and 29918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29904 and 29918.

How to find the GCF of 29904 and 29918?

We will first find the prime factorization of 29904 and 29918. After we will calculate the factors of 29904 and 29918 and find the biggest common factor number .

Step-1: Prime Factorization of 29904

Prime factors of 29904 are 2, 3, 7, 89. Prime factorization of 29904 in exponential form is:

29904 = 2⁴ × 3¹ × 7¹ × 89¹

Step-2: Prime Factorization of 29918

Prime factors of 29918 are 2, 7, 2137. Prime factorization of 29918 in exponential form is:

29918 = 2¹ × 7¹ × 2137¹

Step-3: Factors of 29904

List of positive integer factors of 29904 that divides 29904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 89, 112, 168, 178, 267, 336, 356, 534, 623, 712, 1068, 1246, 1424, 1869, 2136, 2492, 3738, 4272, 4984, 7476, 9968, 14952

Step-4: Factors of 29918

List of positive integer factors of 29918 that divides 29904 without a remainder.

1, 2, 7, 14, 2137, 4274, 14959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29904 and 29918. The biggest common factor number is the GCF number.
So the greatest common factor 29904 and 29918 is 14.

Also check out the Least Common Multiple of 29904 and 29918