What is the Greatest Common Factor of 29064 and 29081?

Greatest common factor (GCF) of 29064 and 29081 is 1.

GCF(29064,29081) = 1

We will now calculate the prime factors of 29064 and 29081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29064 and 29081.

How to find the GCF of 29064 and 29081?

We will first find the prime factorization of 29064 and 29081. After we will calculate the factors of 29064 and 29081 and find the biggest common factor number .

Step-1: Prime Factorization of 29064

Prime factors of 29064 are 2, 3, 7, 173. Prime factorization of 29064 in exponential form is:

29064 = 2³ × 3¹ × 7¹ × 173¹

Step-2: Prime Factorization of 29081

Prime factors of 29081 are 13, 2237. Prime factorization of 29081 in exponential form is:

29081 = 13¹ × 2237¹

Step-3: Factors of 29064

List of positive integer factors of 29064 that divides 29064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 173, 346, 519, 692, 1038, 1211, 1384, 2076, 2422, 3633, 4152, 4844, 7266, 9688, 14532

Step-4: Factors of 29081

List of positive integer factors of 29081 that divides 29064 without a remainder.

1, 13, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29064 and 29081. The biggest common factor number is the GCF number.
So the greatest common factor 29064 and 29081 is 1.

Also check out the Least Common Multiple of 29064 and 29081