What is the Greatest Common Factor of 72130 and 72145?

Greatest common factor (GCF) of 72130 and 72145 is 5.

GCF(72130,72145) = 5

We will now calculate the prime factors of 72130 and 72145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72130 and 72145.

How to find the GCF of 72130 and 72145?

We will first find the prime factorization of 72130 and 72145. After we will calculate the factors of 72130 and 72145 and find the biggest common factor number .

Step-1: Prime Factorization of 72130

Prime factors of 72130 are 2, 5, 7213. Prime factorization of 72130 in exponential form is:

72130 = 2¹ × 5¹ × 7213¹

Step-2: Prime Factorization of 72145

Prime factors of 72145 are 5, 47, 307. Prime factorization of 72145 in exponential form is:

72145 = 5¹ × 47¹ × 307¹

Step-3: Factors of 72130

List of positive integer factors of 72130 that divides 72130 without a remainder.

1, 2, 5, 10, 7213, 14426, 36065

Step-4: Factors of 72145

List of positive integer factors of 72145 that divides 72130 without a remainder.

1, 5, 47, 235, 307, 1535, 14429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72130 and 72145. The biggest common factor number is the GCF number.
So the greatest common factor 72130 and 72145 is 5.

Also check out the Least Common Multiple of 72130 and 72145