What is the Greatest Common Factor of 71700 and 71715?

Greatest common factor (GCF) of 71700 and 71715 is 15.

GCF(71700,71715) = 15

We will now calculate the prime factors of 71700 and 71715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71700 and 71715.

How to find the GCF of 71700 and 71715?

We will first find the prime factorization of 71700 and 71715. After we will calculate the factors of 71700 and 71715 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 71715

Prime factors of 71715 are 3, 5, 7, 683. Prime factorization of 71715 in exponential form is:

71715 = 3¹ × 5¹ × 7¹ × 683¹

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 71715

List of positive integer factors of 71715 that divides 71700 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 683, 2049, 3415, 4781, 10245, 14343, 23905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71700 and 71715. The biggest common factor number is the GCF number.
So the greatest common factor 71700 and 71715 is 15.

Also check out the Least Common Multiple of 71700 and 71715