What is the Greatest Common Factor of 29064 and 29075?

Greatest common factor (GCF) of 29064 and 29075 is 1.

GCF(29064,29075) = 1

We will now calculate the prime factors of 29064 and 29075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29064 and 29075.

How to find the GCF of 29064 and 29075?

We will first find the prime factorization of 29064 and 29075. After we will calculate the factors of 29064 and 29075 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 29075

Prime factors of 29075 are 5, 1163. Prime factorization of 29075 in exponential form is:

29075 = 5² × 1163¹

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 29075

List of positive integer factors of 29075 that divides 29064 without a remainder.

1, 5, 25, 1163, 5815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29064 and 29075. The biggest common factor number is the GCF number.
So the greatest common factor 29064 and 29075 is 1.

Also check out the Least Common Multiple of 29064 and 29075