What is the Greatest Common Factor of 1491 and 1503?

Greatest common factor (GCF) of 1491 and 1503 is 3.

GCF(1491,1503) = 3

We will now calculate the prime factors of 1491 and 1503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1491 and 1503.

How to find the GCF of 1491 and 1503?

We will first find the prime factorization of 1491 and 1503. After we will calculate the factors of 1491 and 1503 and find the biggest common factor number .

Step-1: Prime Factorization of 1491

Prime factors of 1491 are 3, 7, 71. Prime factorization of 1491 in exponential form is:

1491 = 3¹ × 7¹ × 71¹

Step-2: Prime Factorization of 1503

Prime factors of 1503 are 3, 167. Prime factorization of 1503 in exponential form is:

1503 = 3² × 167¹

Step-3: Factors of 1491

List of positive integer factors of 1491 that divides 1491 without a remainder.

1, 3, 7, 21, 71, 213, 497

Step-4: Factors of 1503

List of positive integer factors of 1503 that divides 1491 without a remainder.

1, 3, 9, 167, 501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1491 and 1503. The biggest common factor number is the GCF number.
So the greatest common factor 1491 and 1503 is 3.

Also check out the Least Common Multiple of 1491 and 1503