What is the Greatest Common Factor of 71648 and 71667?

Greatest common factor (GCF) of 71648 and 71667 is 1.

GCF(71648,71667) = 1

We will now calculate the prime factors of 71648 and 71667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71648 and 71667.

How to find the GCF of 71648 and 71667?

We will first find the prime factorization of 71648 and 71667. After we will calculate the factors of 71648 and 71667 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 71667

Prime factors of 71667 are 3, 7963. Prime factorization of 71667 in exponential form is:

71667 = 3² × 7963¹

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 71667

List of positive integer factors of 71667 that divides 71648 without a remainder.

1, 3, 9, 7963, 23889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71648 and 71667. The biggest common factor number is the GCF number.
So the greatest common factor 71648 and 71667 is 1.

Also check out the Least Common Multiple of 71648 and 71667