What is the Greatest Common Factor of 73130 and 73145?

Greatest common factor (GCF) of 73130 and 73145 is 5.

GCF(73130,73145) = 5

We will now calculate the prime factors of 73130 and 73145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73130 and 73145.

How to find the GCF of 73130 and 73145?

We will first find the prime factorization of 73130 and 73145. After we will calculate the factors of 73130 and 73145 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 73145

Prime factors of 73145 are 5, 14629. Prime factorization of 73145 in exponential form is:

73145 = 5¹ × 14629¹

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 73145

List of positive integer factors of 73145 that divides 73130 without a remainder.

1, 5, 14629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73130 and 73145. The biggest common factor number is the GCF number.
So the greatest common factor 73130 and 73145 is 5.

Also check out the Least Common Multiple of 73130 and 73145