What is the Greatest Common Factor of 1464 and 1482?

Greatest common factor (GCF) of 1464 and 1482 is 6.

GCF(1464,1482) = 6

We will now calculate the prime factors of 1464 and 1482, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1464 and 1482.

How to find the GCF of 1464 and 1482?

We will first find the prime factorization of 1464 and 1482. After we will calculate the factors of 1464 and 1482 and find the biggest common factor number .

Step-1: Prime Factorization of 1464

Prime factors of 1464 are 2, 3, 61. Prime factorization of 1464 in exponential form is:

1464 = 2³ × 3¹ × 61¹

Step-2: 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-3: Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732

Step-4: Factors of 1482

List of positive integer factors of 1482 that divides 1464 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1464 and 1482. The biggest common factor number is the GCF number.
So the greatest common factor 1464 and 1482 is 6.

Also check out the Least Common Multiple of 1464 and 1482