What is the Greatest Common Factor of 5648 and 5658?

Greatest common factor (GCF) of 5648 and 5658 is 2.

GCF(5648,5658) = 2

We will now calculate the prime factors of 5648 and 5658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5648 and 5658.

How to find the GCF of 5648 and 5658?

We will first find the prime factorization of 5648 and 5658. After we will calculate the factors of 5648 and 5658 and find the biggest common factor number .

Step-1: Prime Factorization of 5648

Prime factors of 5648 are 2, 353. Prime factorization of 5648 in exponential form is:

5648 = 2⁴ × 353¹

Step-2: Prime Factorization of 5658

Prime factors of 5658 are 2, 3, 23, 41. Prime factorization of 5658 in exponential form is:

5658 = 2¹ × 3¹ × 23¹ × 41¹

Step-3: Factors of 5648

List of positive integer factors of 5648 that divides 5648 without a remainder.

1, 2, 4, 8, 16, 353, 706, 1412, 2824

Step-4: Factors of 5658

List of positive integer factors of 5658 that divides 5648 without a remainder.

1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5648 and 5658. The biggest common factor number is the GCF number.
So the greatest common factor 5648 and 5658 is 2.

Also check out the Least Common Multiple of 5648 and 5658