What is the Greatest Common Factor of 71648 and 71662?

Greatest common factor (GCF) of 71648 and 71662 is 2.

GCF(71648,71662) = 2

We will now calculate the prime factors of 71648 and 71662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71648 and 71662.

How to find the GCF of 71648 and 71662?

We will first find the prime factorization of 71648 and 71662. After we will calculate the factors of 71648 and 71662 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 71662

Prime factors of 71662 are 2, 35831. Prime factorization of 71662 in exponential form is:

71662 = 2¹ × 35831¹

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 71662

List of positive integer factors of 71662 that divides 71648 without a remainder.

1, 2, 35831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71648 and 71662. The biggest common factor number is the GCF number.
So the greatest common factor 71648 and 71662 is 2.

Also check out the Least Common Multiple of 71648 and 71662