What is the Greatest Common Factor of 71686 and 71700?

Greatest common factor (GCF) of 71686 and 71700 is 2.

GCF(71686,71700) = 2

We will now calculate the prime factors of 71686 and 71700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71686 and 71700.

How to find the GCF of 71686 and 71700?

We will first find the prime factorization of 71686 and 71700. After we will calculate the factors of 71686 and 71700 and find the biggest common factor number .

Step-1: Prime Factorization of 71686

Prime factors of 71686 are 2, 73, 491. Prime factorization of 71686 in exponential form is:

71686 = 2¹ × 73¹ × 491¹

Step-2: Prime Factorization of 71700

Prime factors of 71700 are 2, 3, 5, 239. Prime factorization of 71700 in exponential form is:

71700 = 2² × 3¹ × 5² × 239¹

Step-3: Factors of 71686

List of positive integer factors of 71686 that divides 71686 without a remainder.

1, 2, 73, 146, 491, 982, 35843

Step-4: Factors of 71700

List of positive integer factors of 71700 that divides 71686 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 239, 300, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 5975, 7170, 11950, 14340, 17925, 23900, 35850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71686 and 71700. The biggest common factor number is the GCF number.
So the greatest common factor 71686 and 71700 is 2.

Also check out the Least Common Multiple of 71686 and 71700