What is the Greatest Common Factor of 29052 and 29058?

Greatest common factor (GCF) of 29052 and 29058 is 6.

GCF(29052,29058) = 6

We will now calculate the prime factors of 29052 and 29058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29052 and 29058.

How to find the GCF of 29052 and 29058?

We will first find the prime factorization of 29052 and 29058. After we will calculate the factors of 29052 and 29058 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 29058

Prime factors of 29058 are 2, 3, 29, 167. Prime factorization of 29058 in exponential form is:

29058 = 2¹ × 3¹ × 29¹ × 167¹

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 29058

List of positive integer factors of 29058 that divides 29052 without a remainder.

1, 2, 3, 6, 29, 58, 87, 167, 174, 334, 501, 1002, 4843, 9686, 14529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29052 and 29058. The biggest common factor number is the GCF number.
So the greatest common factor 29052 and 29058 is 6.

Also check out the Least Common Multiple of 29052 and 29058