What is the Greatest Common Factor of 7434 and 7449?

Greatest common factor (GCF) of 7434 and 7449 is 3.

GCF(7434,7449) = 3

We will now calculate the prime factors of 7434 and 7449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7434 and 7449.

How to find the GCF of 7434 and 7449?

We will first find the prime factorization of 7434 and 7449. After we will calculate the factors of 7434 and 7449 and find the biggest common factor number .

Step-1: Prime Factorization of 7434

Prime factors of 7434 are 2, 3, 7, 59. Prime factorization of 7434 in exponential form is:

7434 = 2¹ × 3² × 7¹ × 59¹

Step-2: Prime Factorization of 7449

Prime factors of 7449 are 3, 13, 191. Prime factorization of 7449 in exponential form is:

7449 = 3¹ × 13¹ × 191¹

Step-3: Factors of 7434

List of positive integer factors of 7434 that divides 7434 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 59, 63, 118, 126, 177, 354, 413, 531, 826, 1062, 1239, 2478, 3717

Step-4: Factors of 7449

List of positive integer factors of 7449 that divides 7434 without a remainder.

1, 3, 13, 39, 191, 573, 2483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7434 and 7449. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7449 is 3.

Also check out the Least Common Multiple of 7434 and 7449