What is the Greatest Common Factor of 71666 and 71678?

Greatest common factor (GCF) of 71666 and 71678 is 2.

GCF(71666,71678) = 2

We will now calculate the prime factors of 71666 and 71678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71666 and 71678.

How to find the GCF of 71666 and 71678?

We will first find the prime factorization of 71666 and 71678. After we will calculate the factors of 71666 and 71678 and find the biggest common factor number .

Step-1: Prime Factorization of 71666

Prime factors of 71666 are 2, 7, 5119. Prime factorization of 71666 in exponential form is:

71666 = 2¹ × 7¹ × 5119¹

Step-2: Prime Factorization of 71678

Prime factors of 71678 are 2, 35839. Prime factorization of 71678 in exponential form is:

71678 = 2¹ × 35839¹

Step-3: Factors of 71666

List of positive integer factors of 71666 that divides 71666 without a remainder.

1, 2, 7, 14, 5119, 10238, 35833

Step-4: Factors of 71678

List of positive integer factors of 71678 that divides 71666 without a remainder.

1, 2, 35839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71666 and 71678. The biggest common factor number is the GCF number.
So the greatest common factor 71666 and 71678 is 2.

Also check out the Least Common Multiple of 71666 and 71678