What is the Greatest Common Factor of 7434 and 7453?

Greatest common factor (GCF) of 7434 and 7453 is 1.

GCF(7434,7453) = 1

We will now calculate the prime factors of 7434 and 7453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7434 and 7453.

How to find the GCF of 7434 and 7453?

We will first find the prime factorization of 7434 and 7453. After we will calculate the factors of 7434 and 7453 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 7453

Prime factors of 7453 are 29, 257. Prime factorization of 7453 in exponential form is:

7453 = 29¹ × 257¹

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 7453

List of positive integer factors of 7453 that divides 7434 without a remainder.

1, 29, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7434 and 7453. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7453 is 1.

Also check out the Least Common Multiple of 7434 and 7453