What is the Greatest Common Factor of 73071 and 73086?

Greatest common factor (GCF) of 73071 and 73086 is 3.

GCF(73071,73086) = 3

We will now calculate the prime factors of 73071 and 73086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73071 and 73086.

How to find the GCF of 73071 and 73086?

We will first find the prime factorization of 73071 and 73086. After we will calculate the factors of 73071 and 73086 and find the biggest common factor number .

Step-1: Prime Factorization of 73071

Prime factors of 73071 are 3, 23, 353. Prime factorization of 73071 in exponential form is:

73071 = 3² × 23¹ × 353¹

Step-2: Prime Factorization of 73086

Prime factors of 73086 are 2, 3, 13, 937. Prime factorization of 73086 in exponential form is:

73086 = 2¹ × 3¹ × 13¹ × 937¹

Step-3: Factors of 73071

List of positive integer factors of 73071 that divides 73071 without a remainder.

1, 3, 9, 23, 69, 207, 353, 1059, 3177, 8119, 24357

Step-4: Factors of 73086

List of positive integer factors of 73086 that divides 73071 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 937, 1874, 2811, 5622, 12181, 24362, 36543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73071 and 73086. The biggest common factor number is the GCF number.
So the greatest common factor 73071 and 73086 is 3.

Also check out the Least Common Multiple of 73071 and 73086