What is the Greatest Common Factor of 1482 and 1501?

Greatest common factor (GCF) of 1482 and 1501 is 19.

GCF(1482,1501) = 19

We will now calculate the prime factors of 1482 and 1501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1482 and 1501.

How to find the GCF of 1482 and 1501?

We will first find the prime factorization of 1482 and 1501. After we will calculate the factors of 1482 and 1501 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 1501

Prime factors of 1501 are 19, 79. Prime factorization of 1501 in exponential form is:

1501 = 19¹ × 79¹

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 1501

List of positive integer factors of 1501 that divides 1482 without a remainder.

1, 19, 79

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1482 and 1501. The biggest common factor number is the GCF number.
So the greatest common factor 1482 and 1501 is 19.

Also check out the Least Common Multiple of 1482 and 1501