What is the Greatest Common Factor of 29064 and 29076?

Greatest common factor (GCF) of 29064 and 29076 is 12.

GCF(29064,29076) = 12

We will now calculate the prime factors of 29064 and 29076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29064 and 29076.

How to find the GCF of 29064 and 29076?

We will first find the prime factorization of 29064 and 29076. After we will calculate the factors of 29064 and 29076 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 29076

Prime factors of 29076 are 2, 3, 2423. Prime factorization of 29076 in exponential form is:

29076 = 2² × 3¹ × 2423¹

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 29076

List of positive integer factors of 29076 that divides 29064 without a remainder.

1, 2, 3, 4, 6, 12, 2423, 4846, 7269, 9692, 14538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29064 and 29076. The biggest common factor number is the GCF number.
So the greatest common factor 29064 and 29076 is 12.

Also check out the Least Common Multiple of 29064 and 29076