What is the Greatest Common Factor of 7488 and 7504?

Greatest common factor (GCF) of 7488 and 7504 is 16.

GCF(7488,7504) = 16

We will now calculate the prime factors of 7488 and 7504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7488 and 7504.

How to find the GCF of 7488 and 7504?

We will first find the prime factorization of 7488 and 7504. After we will calculate the factors of 7488 and 7504 and find the biggest common factor number .

Step-1: Prime Factorization of 7488

Prime factors of 7488 are 2, 3, 13. Prime factorization of 7488 in exponential form is:

7488 = 2⁶ × 3² × 13¹

Step-2: Prime Factorization of 7504

Prime factors of 7504 are 2, 7, 67. Prime factorization of 7504 in exponential form is:

7504 = 2⁴ × 7¹ × 67¹

Step-3: Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39, 48, 52, 64, 72, 78, 96, 104, 117, 144, 156, 192, 208, 234, 288, 312, 416, 468, 576, 624, 832, 936, 1248, 1872, 2496, 3744

Step-4: Factors of 7504

List of positive integer factors of 7504 that divides 7488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7488 and 7504. The biggest common factor number is the GCF number.
So the greatest common factor 7488 and 7504 is 16.

Also check out the Least Common Multiple of 7488 and 7504