What is the Greatest Common Factor of 71810 and 71825?

Greatest common factor (GCF) of 71810 and 71825 is 5.

GCF(71810,71825) = 5

We will now calculate the prime factors of 71810 and 71825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71810 and 71825.

How to find the GCF of 71810 and 71825?

We will first find the prime factorization of 71810 and 71825. After we will calculate the factors of 71810 and 71825 and find the biggest common factor number .

Step-1: Prime Factorization of 71810

Prime factors of 71810 are 2, 5, 43, 167. Prime factorization of 71810 in exponential form is:

71810 = 2¹ × 5¹ × 43¹ × 167¹

Step-2: Prime Factorization of 71825

Prime factors of 71825 are 5, 13, 17. Prime factorization of 71825 in exponential form is:

71825 = 5² × 13² × 17¹

Step-3: Factors of 71810

List of positive integer factors of 71810 that divides 71810 without a remainder.

1, 2, 5, 10, 43, 86, 167, 215, 334, 430, 835, 1670, 7181, 14362, 35905

Step-4: Factors of 71825

List of positive integer factors of 71825 that divides 71810 without a remainder.

1, 5, 13, 17, 25, 65, 85, 169, 221, 325, 425, 845, 1105, 2873, 4225, 5525, 14365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71810 and 71825. The biggest common factor number is the GCF number.
So the greatest common factor 71810 and 71825 is 5.

Also check out the Least Common Multiple of 71810 and 71825