What is the Greatest Common Factor of 71830 and 71845?

Greatest common factor (GCF) of 71830 and 71845 is 5.

GCF(71830,71845) = 5

We will now calculate the prime factors of 71830 and 71845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71830 and 71845.

How to find the GCF of 71830 and 71845?

We will first find the prime factorization of 71830 and 71845. After we will calculate the factors of 71830 and 71845 and find the biggest common factor number .

Step-1: Prime Factorization of 71830

Prime factors of 71830 are 2, 5, 11, 653. Prime factorization of 71830 in exponential form is:

71830 = 2¹ × 5¹ × 11¹ × 653¹

Step-2: Prime Factorization of 71845

Prime factors of 71845 are 5, 14369. Prime factorization of 71845 in exponential form is:

71845 = 5¹ × 14369¹

Step-3: Factors of 71830

List of positive integer factors of 71830 that divides 71830 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 653, 1306, 3265, 6530, 7183, 14366, 35915

Step-4: Factors of 71845

List of positive integer factors of 71845 that divides 71830 without a remainder.

1, 5, 14369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71830 and 71845. The biggest common factor number is the GCF number.
So the greatest common factor 71830 and 71845 is 5.

Also check out the Least Common Multiple of 71830 and 71845