What is the Greatest Common Factor of 7488 and 7502?

Greatest common factor (GCF) of 7488 and 7502 is 2.

GCF(7488,7502) = 2

We will now calculate the prime factors of 7488 and 7502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7488 and 7502.

How to find the GCF of 7488 and 7502?

We will first find the prime factorization of 7488 and 7502. After we will calculate the factors of 7488 and 7502 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 7502

Prime factors of 7502 are 2, 11, 31. Prime factorization of 7502 in exponential form is:

7502 = 2¹ × 11² × 31¹

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 7502

List of positive integer factors of 7502 that divides 7488 without a remainder.

1, 2, 11, 22, 31, 62, 121, 242, 341, 682, 3751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7488 and 7502. The biggest common factor number is the GCF number.
So the greatest common factor 7488 and 7502 is 2.

Also check out the Least Common Multiple of 7488 and 7502