What is the Greatest Common Factor of 71706 and 71725?

Greatest common factor (GCF) of 71706 and 71725 is 19.

GCF(71706,71725) = 19

We will now calculate the prime factors of 71706 and 71725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71706 and 71725.

How to find the GCF of 71706 and 71725?

We will first find the prime factorization of 71706 and 71725. After we will calculate the factors of 71706 and 71725 and find the biggest common factor number .

Step-1: Prime Factorization of 71706

Prime factors of 71706 are 2, 3, 17, 19, 37. Prime factorization of 71706 in exponential form is:

71706 = 2¹ × 3¹ × 17¹ × 19¹ × 37¹

Step-2: Prime Factorization of 71725

Prime factors of 71725 are 5, 19, 151. Prime factorization of 71725 in exponential form is:

71725 = 5² × 19¹ × 151¹

Step-3: Factors of 71706

List of positive integer factors of 71706 that divides 71706 without a remainder.

1, 2, 3, 6, 17, 19, 34, 37, 38, 51, 57, 74, 102, 111, 114, 222, 323, 629, 646, 703, 969, 1258, 1406, 1887, 1938, 2109, 3774, 4218, 11951, 23902, 35853

Step-4: Factors of 71725

List of positive integer factors of 71725 that divides 71706 without a remainder.

1, 5, 19, 25, 95, 151, 475, 755, 2869, 3775, 14345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71706 and 71725. The biggest common factor number is the GCF number.
So the greatest common factor 71706 and 71725 is 19.

Also check out the Least Common Multiple of 71706 and 71725