What is the Greatest Common Factor of 47034 and 47052?

Greatest common factor (GCF) of 47034 and 47052 is 18.

GCF(47034,47052) = 18

We will now calculate the prime factors of 47034 and 47052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47034 and 47052.

How to find the GCF of 47034 and 47052?

We will first find the prime factorization of 47034 and 47052. After we will calculate the factors of 47034 and 47052 and find the biggest common factor number .

Step-1: Prime Factorization of 47034

Prime factors of 47034 are 2, 3, 13, 67. Prime factorization of 47034 in exponential form is:

47034 = 2¹ × 3³ × 13¹ × 67¹

Step-2: Prime Factorization of 47052

Prime factors of 47052 are 2, 3, 1307. Prime factorization of 47052 in exponential form is:

47052 = 2² × 3² × 1307¹

Step-3: Factors of 47034

List of positive integer factors of 47034 that divides 47034 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 67, 78, 117, 134, 201, 234, 351, 402, 603, 702, 871, 1206, 1742, 1809, 2613, 3618, 5226, 7839, 15678, 23517

Step-4: Factors of 47052

List of positive integer factors of 47052 that divides 47034 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1307, 2614, 3921, 5228, 7842, 11763, 15684, 23526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47034 and 47052. The biggest common factor number is the GCF number.
So the greatest common factor 47034 and 47052 is 18.

Also check out the Least Common Multiple of 47034 and 47052