What is the Greatest Common Factor of 7488 and 7492?

Greatest common factor (GCF) of 7488 and 7492 is 4.

GCF(7488,7492) = 4

We will now calculate the prime factors of 7488 and 7492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7488 and 7492.

How to find the GCF of 7488 and 7492?

We will first find the prime factorization of 7488 and 7492. After we will calculate the factors of 7488 and 7492 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 7492

Prime factors of 7492 are 2, 1873. Prime factorization of 7492 in exponential form is:

7492 = 2² × 1873¹

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 7492

List of positive integer factors of 7492 that divides 7488 without a remainder.

1, 2, 4, 1873, 3746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7488 and 7492. The biggest common factor number is the GCF number.
So the greatest common factor 7488 and 7492 is 4.

Also check out the Least Common Multiple of 7488 and 7492