What is the Greatest Common Factor of 71700 and 71718?

Greatest common factor (GCF) of 71700 and 71718 is 6.

GCF(71700,71718) = 6

We will now calculate the prime factors of 71700 and 71718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71700 and 71718.

How to find the GCF of 71700 and 71718?

We will first find the prime factorization of 71700 and 71718. After we will calculate the factors of 71700 and 71718 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71718

Prime factors of 71718 are 2, 3, 11953. Prime factorization of 71718 in exponential form is:

71718 = 2¹ × 3¹ × 11953¹

Step-3: Factors of 71700

List of positive integer factors of 71700 that divides 71700 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

Step-4: Factors of 71718

List of positive integer factors of 71718 that divides 71700 without a remainder.

1, 2, 3, 6, 11953, 23906, 35859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71700 and 71718. The biggest common factor number is the GCF number.
So the greatest common factor 71700 and 71718 is 6.

Also check out the Least Common Multiple of 71700 and 71718