What is the Greatest Common Factor of 7544 and 7560?

Greatest common factor (GCF) of 7544 and 7560 is 8.

GCF(7544,7560) = 8

We will now calculate the prime factors of 7544 and 7560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7544 and 7560.

How to find the GCF of 7544 and 7560?

We will first find the prime factorization of 7544 and 7560. After we will calculate the factors of 7544 and 7560 and find the biggest common factor number .

Step-1: Prime Factorization of 7544

Prime factors of 7544 are 2, 23, 41. Prime factorization of 7544 in exponential form is:

7544 = 2³ × 23¹ × 41¹

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 7544

List of positive integer factors of 7544 that divides 7544 without a remainder.

1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772

Step-4: Factors of 7560

List of positive integer factors of 7560 that divides 7544 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 7544 and 7560. The biggest common factor number is the GCF number.
So the greatest common factor 7544 and 7560 is 8.

Also check out the Least Common Multiple of 7544 and 7560