What is the Greatest Common Factor of 1474 and 1488?

Greatest common factor (GCF) of 1474 and 1488 is 2.

GCF(1474,1488) = 2

We will now calculate the prime factors of 1474 and 1488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1474 and 1488.

How to find the GCF of 1474 and 1488?

We will first find the prime factorization of 1474 and 1488. After we will calculate the factors of 1474 and 1488 and find the biggest common factor number .

Step-1: Prime Factorization of 1474

Prime factors of 1474 are 2, 11, 67. Prime factorization of 1474 in exponential form is:

1474 = 2¹ × 11¹ × 67¹

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 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1, 2, 11, 22, 67, 134, 737

Step-4: Factors of 1488

List of positive integer factors of 1488 that divides 1474 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 1474 and 1488. The biggest common factor number is the GCF number.
So the greatest common factor 1474 and 1488 is 2.

Also check out the Least Common Multiple of 1474 and 1488