What is the Greatest Common Factor of 29904 and 29917?

Greatest common factor (GCF) of 29904 and 29917 is 1.

GCF(29904,29917) = 1

We will now calculate the prime factors of 29904 and 29917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29904 and 29917.

How to find the GCF of 29904 and 29917?

We will first find the prime factorization of 29904 and 29917. After we will calculate the factors of 29904 and 29917 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 29917

Prime factors of 29917 are 29917. Prime factorization of 29917 in exponential form is:

29917 = 29917¹

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 29917

List of positive integer factors of 29917 that divides 29904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29904 and 29917. The biggest common factor number is the GCF number.
So the greatest common factor 29904 and 29917 is 1.

Also check out the Least Common Multiple of 29904 and 29917