What is the Greatest Common Factor of 1482 and 1497?

Greatest common factor (GCF) of 1482 and 1497 is 3.

GCF(1482,1497) = 3

We will now calculate the prime factors of 1482 and 1497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1482 and 1497.

How to find the GCF of 1482 and 1497?

We will first find the prime factorization of 1482 and 1497. After we will calculate the factors of 1482 and 1497 and find the biggest common factor number .

Step-1: Prime Factorization of 1482

Prime factors of 1482 are 2, 3, 13, 19. Prime factorization of 1482 in exponential form is:

1482 = 2¹ × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 1497

Prime factors of 1497 are 3, 499. Prime factorization of 1497 in exponential form is:

1497 = 3¹ × 499¹

Step-3: Factors of 1482

List of positive integer factors of 1482 that divides 1482 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 78, 114, 247, 494, 741

Step-4: Factors of 1497

List of positive integer factors of 1497 that divides 1482 without a remainder.

1, 3, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1482 and 1497. The biggest common factor number is the GCF number.
So the greatest common factor 1482 and 1497 is 3.

Also check out the Least Common Multiple of 1482 and 1497