What is the Greatest Common Factor of 71648 and 71666?

Greatest common factor (GCF) of 71648 and 71666 is 2.

GCF(71648,71666) = 2

We will now calculate the prime factors of 71648 and 71666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71648 and 71666.

How to find the GCF of 71648 and 71666?

We will first find the prime factorization of 71648 and 71666. After we will calculate the factors of 71648 and 71666 and find the biggest common factor number .

Step-1: Prime Factorization of 71648

Prime factors of 71648 are 2, 2239. Prime factorization of 71648 in exponential form is:

71648 = 2⁵ × 2239¹

Step-2: 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-3: Factors of 71648

List of positive integer factors of 71648 that divides 71648 without a remainder.

1, 2, 4, 8, 16, 32, 2239, 4478, 8956, 17912, 35824

Step-4: Factors of 71666

List of positive integer factors of 71666 that divides 71648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71648 and 71666. The biggest common factor number is the GCF number.
So the greatest common factor 71648 and 71666 is 2.

Also check out the Least Common Multiple of 71648 and 71666