What is the Greatest Common Factor of 47019 and 47034?

Greatest common factor (GCF) of 47019 and 47034 is 3.

GCF(47019,47034) = 3

We will now calculate the prime factors of 47019 and 47034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47019 and 47034.

How to find the GCF of 47019 and 47034?

We will first find the prime factorization of 47019 and 47034. After we will calculate the factors of 47019 and 47034 and find the biggest common factor number .

Step-1: Prime Factorization of 47019

Prime factors of 47019 are 3, 7, 2239. Prime factorization of 47019 in exponential form is:

47019 = 3¹ × 7¹ × 2239¹

Step-2: 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-3: Factors of 47019

List of positive integer factors of 47019 that divides 47019 without a remainder.

1, 3, 7, 21, 2239, 6717, 15673

Step-4: Factors of 47034

List of positive integer factors of 47034 that divides 47019 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47019 and 47034. The biggest common factor number is the GCF number.
So the greatest common factor 47019 and 47034 is 3.

Also check out the Least Common Multiple of 47019 and 47034