What is the Greatest Common Factor of 1488 and 1496?

Greatest common factor (GCF) of 1488 and 1496 is 8.

GCF(1488,1496) = 8

We will now calculate the prime factors of 1488 and 1496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1488 and 1496.

How to find the GCF of 1488 and 1496?

We will first find the prime factorization of 1488 and 1496. After we will calculate the factors of 1488 and 1496 and find the biggest common factor number .

Step-1: Prime Factorization of 1488

Prime factors of 1488 are 2, 3, 31. Prime factorization of 1488 in exponential form is:

1488 = 2⁴ × 3¹ × 31¹

Step-2: Prime Factorization of 1496

Prime factors of 1496 are 2, 11, 17. Prime factorization of 1496 in exponential form is:

1496 = 2³ × 11¹ × 17¹

Step-3: Factors of 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744

Step-4: Factors of 1496

List of positive integer factors of 1496 that divides 1488 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1488 and 1496. The biggest common factor number is the GCF number.
So the greatest common factor 1488 and 1496 is 8.

Also check out the Least Common Multiple of 1488 and 1496