What is the Greatest Common Factor of 71825 and 71835?

Greatest common factor (GCF) of 71825 and 71835 is 5.

GCF(71825,71835) = 5

We will now calculate the prime factors of 71825 and 71835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71825 and 71835.

How to find the GCF of 71825 and 71835?

We will first find the prime factorization of 71825 and 71835. After we will calculate the factors of 71825 and 71835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71835

Prime factors of 71835 are 3, 5, 4789. Prime factorization of 71835 in exponential form is:

71835 = 3¹ × 5¹ × 4789¹

Step-3: Factors of 71825

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

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

Step-4: Factors of 71835

List of positive integer factors of 71835 that divides 71825 without a remainder.

1, 3, 5, 15, 4789, 14367, 23945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71825 and 71835. The biggest common factor number is the GCF number.
So the greatest common factor 71825 and 71835 is 5.

Also check out the Least Common Multiple of 71825 and 71835