What is the Greatest Common Factor of 7582 and 7596?

Greatest common factor (GCF) of 7582 and 7596 is 2.

GCF(7582,7596) = 2

We will now calculate the prime factors of 7582 and 7596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7582 and 7596.

How to find the GCF of 7582 and 7596?

We will first find the prime factorization of 7582 and 7596. After we will calculate the factors of 7582 and 7596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7596

Prime factors of 7596 are 2, 3, 211. Prime factorization of 7596 in exponential form is:

7596 = 2² × 3² × 211¹

Step-3: Factors of 7582

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

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

Step-4: Factors of 7596

List of positive integer factors of 7596 that divides 7582 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7582 and 7596. The biggest common factor number is the GCF number.
So the greatest common factor 7582 and 7596 is 2.

Also check out the Least Common Multiple of 7582 and 7596