What is the Greatest Common Factor of 29184 and 29197?

Greatest common factor (GCF) of 29184 and 29197 is 1.

GCF(29184,29197) = 1

We will now calculate the prime factors of 29184 and 29197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29184 and 29197.

How to find the GCF of 29184 and 29197?

We will first find the prime factorization of 29184 and 29197. After we will calculate the factors of 29184 and 29197 and find the biggest common factor number .

Step-1: Prime Factorization of 29184

Prime factors of 29184 are 2, 3, 19. Prime factorization of 29184 in exponential form is:

29184 = 2⁹ × 3¹ × 19¹

Step-2: Prime Factorization of 29197

Prime factors of 29197 are 7, 43, 97. Prime factorization of 29197 in exponential form is:

29197 = 7¹ × 43¹ × 97¹

Step-3: Factors of 29184

List of positive integer factors of 29184 that divides 29184 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 256, 304, 384, 456, 512, 608, 768, 912, 1216, 1536, 1824, 2432, 3648, 4864, 7296, 9728, 14592

Step-4: Factors of 29197

List of positive integer factors of 29197 that divides 29184 without a remainder.

1, 7, 43, 97, 301, 679, 4171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29184 and 29197. The biggest common factor number is the GCF number.
So the greatest common factor 29184 and 29197 is 1.

Also check out the Least Common Multiple of 29184 and 29197