What is the Greatest Common Factor of 71670 and 71686?

Greatest common factor (GCF) of 71670 and 71686 is 2.

GCF(71670,71686) = 2

We will now calculate the prime factors of 71670 and 71686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71670 and 71686.

How to find the GCF of 71670 and 71686?

We will first find the prime factorization of 71670 and 71686. After we will calculate the factors of 71670 and 71686 and find the biggest common factor number .

Step-1: Prime Factorization of 71670

Prime factors of 71670 are 2, 3, 5, 2389. Prime factorization of 71670 in exponential form is:

71670 = 2¹ × 3¹ × 5¹ × 2389¹

Step-2: 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-3: Factors of 71670

List of positive integer factors of 71670 that divides 71670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2389, 4778, 7167, 11945, 14334, 23890, 35835

Step-4: Factors of 71686

List of positive integer factors of 71686 that divides 71670 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71670 and 71686. The biggest common factor number is the GCF number.
So the greatest common factor 71670 and 71686 is 2.

Also check out the Least Common Multiple of 71670 and 71686