What is the Greatest Common Factor of 29034 and 29052?

Greatest common factor (GCF) of 29034 and 29052 is 18.

GCF(29034,29052) = 18

We will now calculate the prime factors of 29034 and 29052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29034 and 29052.

How to find the GCF of 29034 and 29052?

We will first find the prime factorization of 29034 and 29052. After we will calculate the factors of 29034 and 29052 and find the biggest common factor number .

Step-1: Prime Factorization of 29034

Prime factors of 29034 are 2, 3, 1613. Prime factorization of 29034 in exponential form is:

29034 = 2¹ × 3² × 1613¹

Step-2: 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-3: Factors of 29034

List of positive integer factors of 29034 that divides 29034 without a remainder.

1, 2, 3, 6, 9, 18, 1613, 3226, 4839, 9678, 14517

Step-4: Factors of 29052

List of positive integer factors of 29052 that divides 29034 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29034 and 29052. The biggest common factor number is the GCF number.
So the greatest common factor 29034 and 29052 is 18.

Also check out the Least Common Multiple of 29034 and 29052