What is the Greatest Common Factor of 7434 and 7444?

Greatest common factor (GCF) of 7434 and 7444 is 2.

GCF(7434,7444) = 2

We will now calculate the prime factors of 7434 and 7444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7434 and 7444.

How to find the GCF of 7434 and 7444?

We will first find the prime factorization of 7434 and 7444. After we will calculate the factors of 7434 and 7444 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 7444

Prime factors of 7444 are 2, 1861. Prime factorization of 7444 in exponential form is:

7444 = 2² × 1861¹

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 7444

List of positive integer factors of 7444 that divides 7434 without a remainder.

1, 2, 4, 1861, 3722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7434 and 7444. The biggest common factor number is the GCF number.
So the greatest common factor 7434 and 7444 is 2.

Also check out the Least Common Multiple of 7434 and 7444