What is the Greatest Common Factor of 7568 and 7582?

Greatest common factor (GCF) of 7568 and 7582 is 2.

GCF(7568,7582) = 2

We will now calculate the prime factors of 7568 and 7582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7568 and 7582.

How to find the GCF of 7568 and 7582?

We will first find the prime factorization of 7568 and 7582. After we will calculate the factors of 7568 and 7582 and find the biggest common factor number .

Step-1: Prime Factorization of 7568

Prime factors of 7568 are 2, 11, 43. Prime factorization of 7568 in exponential form is:

7568 = 2⁴ × 11¹ × 43¹

Step-2: Prime Factorization of 7582

Prime factors of 7582 are 2, 17, 223. Prime factorization of 7582 in exponential form is:

7582 = 2¹ × 17¹ × 223¹

Step-3: Factors of 7568

List of positive integer factors of 7568 that divides 7568 without a remainder.

1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784

Step-4: Factors of 7582

List of positive integer factors of 7582 that divides 7568 without a remainder.

1, 2, 17, 34, 223, 446, 3791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7568 and 7582. The biggest common factor number is the GCF number.
So the greatest common factor 7568 and 7582 is 2.

Also check out the Least Common Multiple of 7568 and 7582