What is the Greatest Common Factor of 7434 and 7441?

Greatest common factor (GCF) of 7434 and 7441 is 7.

GCF(7434,7441) = 7

We will now calculate the prime factors of 7434 and 7441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7434 and 7441.

How to find the GCF of 7434 and 7441?

We will first find the prime factorization of 7434 and 7441. After we will calculate the factors of 7434 and 7441 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 7441

Prime factors of 7441 are 7, 1063. Prime factorization of 7441 in exponential form is:

7441 = 7¹ × 1063¹

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 7441

List of positive integer factors of 7441 that divides 7434 without a remainder.

1, 7, 1063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7434 and 7441. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7441 is 7.

Also check out the Least Common Multiple of 7434 and 7441