What is the Greatest Common Factor of 73034 and 73047?

Greatest common factor (GCF) of 73034 and 73047 is 13.

GCF(73034,73047) = 13

We will now calculate the prime factors of 73034 and 73047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73034 and 73047.

How to find the GCF of 73034 and 73047?

We will first find the prime factorization of 73034 and 73047. After we will calculate the factors of 73034 and 73047 and find the biggest common factor number .

Step-1: Prime Factorization of 73034

Prime factors of 73034 are 2, 13, 53. Prime factorization of 73034 in exponential form is:

73034 = 2¹ × 13¹ × 53²

Step-2: Prime Factorization of 73047

Prime factors of 73047 are 3, 13, 1873. Prime factorization of 73047 in exponential form is:

73047 = 3¹ × 13¹ × 1873¹

Step-3: Factors of 73034

List of positive integer factors of 73034 that divides 73034 without a remainder.

1, 2, 13, 26, 53, 106, 689, 1378, 2809, 5618, 36517

Step-4: Factors of 73047

List of positive integer factors of 73047 that divides 73034 without a remainder.

1, 3, 13, 39, 1873, 5619, 24349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73034 and 73047. The biggest common factor number is the GCF number.
So the greatest common factor 73034 and 73047 is 13.

Also check out the Least Common Multiple of 73034 and 73047