What is the Greatest Common Factor of 73130 and 73146?

Greatest common factor (GCF) of 73130 and 73146 is 2.

GCF(73130,73146) = 2

We will now calculate the prime factors of 73130 and 73146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73130 and 73146.

How to find the GCF of 73130 and 73146?

We will first find the prime factorization of 73130 and 73146. After we will calculate the factors of 73130 and 73146 and find the biggest common factor number .

Step-1: Prime Factorization of 73130

Prime factors of 73130 are 2, 5, 71, 103. Prime factorization of 73130 in exponential form is:

73130 = 2¹ × 5¹ × 71¹ × 103¹

Step-2: Prime Factorization of 73146

Prime factors of 73146 are 2, 3, 73, 167. Prime factorization of 73146 in exponential form is:

73146 = 2¹ × 3¹ × 73¹ × 167¹

Step-3: Factors of 73130

List of positive integer factors of 73130 that divides 73130 without a remainder.

1, 2, 5, 10, 71, 103, 142, 206, 355, 515, 710, 1030, 7313, 14626, 36565

Step-4: Factors of 73146

List of positive integer factors of 73146 that divides 73130 without a remainder.

1, 2, 3, 6, 73, 146, 167, 219, 334, 438, 501, 1002, 12191, 24382, 36573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73130 and 73146. The biggest common factor number is the GCF number.
So the greatest common factor 73130 and 73146 is 2.

Also check out the Least Common Multiple of 73130 and 73146