What is the Greatest Common Factor of 1476 and 1488?

Greatest common factor (GCF) of 1476 and 1488 is 12.

GCF(1476,1488) = 12

We will now calculate the prime factors of 1476 and 1488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1476 and 1488.

How to find the GCF of 1476 and 1488?

We will first find the prime factorization of 1476 and 1488. After we will calculate the factors of 1476 and 1488 and find the biggest common factor number .

Step-1: Prime Factorization of 1476

Prime factors of 1476 are 2, 3, 41. Prime factorization of 1476 in exponential form is:

1476 = 2² × 3² × 41¹

Step-2: 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-3: Factors of 1476

List of positive integer factors of 1476 that divides 1476 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738

Step-4: Factors of 1488

List of positive integer factors of 1488 that divides 1476 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1476 and 1488. The biggest common factor number is the GCF number.
So the greatest common factor 1476 and 1488 is 12.

Also check out the Least Common Multiple of 1476 and 1488