What is the Greatest Common Factor of 71825 and 71842?

Greatest common factor (GCF) of 71825 and 71842 is 17.

GCF(71825,71842) = 17

We will now calculate the prime factors of 71825 and 71842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71825 and 71842.

How to find the GCF of 71825 and 71842?

We will first find the prime factorization of 71825 and 71842. After we will calculate the factors of 71825 and 71842 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 71842

Prime factors of 71842 are 2, 17, 2113. Prime factorization of 71842 in exponential form is:

71842 = 2¹ × 17¹ × 2113¹

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 71842

List of positive integer factors of 71842 that divides 71825 without a remainder.

1, 2, 17, 34, 2113, 4226, 35921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71825 and 71842. The biggest common factor number is the GCF number.
So the greatest common factor 71825 and 71842 is 17.

Also check out the Least Common Multiple of 71825 and 71842