What is the Greatest Common Factor of 7548 and 7562?

Greatest common factor (GCF) of 7548 and 7562 is 2.

GCF(7548,7562) = 2

We will now calculate the prime factors of 7548 and 7562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7548 and 7562.

How to find the GCF of 7548 and 7562?

We will first find the prime factorization of 7548 and 7562. After we will calculate the factors of 7548 and 7562 and find the biggest common factor number .

Step-1: Prime Factorization of 7548

Prime factors of 7548 are 2, 3, 17, 37. Prime factorization of 7548 in exponential form is:

7548 = 2² × 3¹ × 17¹ × 37¹

Step-2: Prime Factorization of 7562

Prime factors of 7562 are 2, 19, 199. Prime factorization of 7562 in exponential form is:

7562 = 2¹ × 19¹ × 199¹

Step-3: Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774

Step-4: Factors of 7562

List of positive integer factors of 7562 that divides 7548 without a remainder.

1, 2, 19, 38, 199, 398, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7548 and 7562. The biggest common factor number is the GCF number.
So the greatest common factor 7548 and 7562 is 2.

Also check out the Least Common Multiple of 7548 and 7562