What is the Greatest Common Factor of 7548 and 7560?

Greatest common factor (GCF) of 7548 and 7560 is 12.

GCF(7548,7560) = 12

We will now calculate the prime factors of 7548 and 7560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7548 and 7560.

How to find the GCF of 7548 and 7560?

We will first find the prime factorization of 7548 and 7560. After we will calculate the factors of 7548 and 7560 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 7560

Prime factors of 7560 are 2, 3, 5, 7. Prime factorization of 7560 in exponential form is:

7560 = 2³ × 3³ × 5¹ × 7¹

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 7560

List of positive integer factors of 7560 that divides 7548 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7548 and 7560. The biggest common factor number is the GCF number.
So the greatest common factor 7548 and 7560 is 12.

Also check out the Least Common Multiple of 7548 and 7560