What is the Greatest Common Factor of 29052 and 29064?

Greatest common factor (GCF) of 29052 and 29064 is 12.

GCF(29052,29064) = 12

We will now calculate the prime factors of 29052 and 29064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29052 and 29064.

How to find the GCF of 29052 and 29064?

We will first find the prime factorization of 29052 and 29064. After we will calculate the factors of 29052 and 29064 and find the biggest common factor number .

Step-1: Prime Factorization of 29052

Prime factors of 29052 are 2, 3, 269. Prime factorization of 29052 in exponential form is:

29052 = 2² × 3³ × 269¹

Step-2: 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-3: Factors of 29052

List of positive integer factors of 29052 that divides 29052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 7263, 9684, 14526

Step-4: Factors of 29064

List of positive integer factors of 29064 that divides 29052 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29052 and 29064. The biggest common factor number is the GCF number.
So the greatest common factor 29052 and 29064 is 12.

Also check out the Least Common Multiple of 29052 and 29064