What is the Greatest Common Factor of 1449 and 1461?

Greatest common factor (GCF) of 1449 and 1461 is 3.

GCF(1449,1461) = 3

We will now calculate the prime factors of 1449 and 1461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1449 and 1461.

How to find the GCF of 1449 and 1461?

We will first find the prime factorization of 1449 and 1461. After we will calculate the factors of 1449 and 1461 and find the biggest common factor number .

Step-1: Prime Factorization of 1449

Prime factors of 1449 are 3, 7, 23. Prime factorization of 1449 in exponential form is:

1449 = 3² × 7¹ × 23¹

Step-2: Prime Factorization of 1461

Prime factors of 1461 are 3, 487. Prime factorization of 1461 in exponential form is:

1461 = 3¹ × 487¹

Step-3: Factors of 1449

List of positive integer factors of 1449 that divides 1449 without a remainder.

1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483

Step-4: Factors of 1461

List of positive integer factors of 1461 that divides 1449 without a remainder.

1, 3, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1449 and 1461. The biggest common factor number is the GCF number.
So the greatest common factor 1449 and 1461 is 3.

Also check out the Least Common Multiple of 1449 and 1461