What is the Greatest Common Factor of 47021 and 47034?

Greatest common factor (GCF) of 47021 and 47034 is 13.

GCF(47021,47034) = 13

We will now calculate the prime factors of 47021 and 47034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47021 and 47034.

How to find the GCF of 47021 and 47034?

We will first find the prime factorization of 47021 and 47034. After we will calculate the factors of 47021 and 47034 and find the biggest common factor number .

Step-1: Prime Factorization of 47021

Prime factors of 47021 are 13, 3617. Prime factorization of 47021 in exponential form is:

47021 = 13¹ × 3617¹

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 47021

List of positive integer factors of 47021 that divides 47021 without a remainder.

1, 13, 3617

Step-4: Factors of 47034

List of positive integer factors of 47034 that divides 47021 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 47021 and 47034. The biggest common factor number is the GCF number.
So the greatest common factor 47021 and 47034 is 13.

Also check out the Least Common Multiple of 47021 and 47034