What is the Greatest Common Factor of 7432 and 7444?

Greatest common factor (GCF) of 7432 and 7444 is 4.

GCF(7432,7444) = 4

We will now calculate the prime factors of 7432 and 7444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7432 and 7444.

How to find the GCF of 7432 and 7444?

We will first find the prime factorization of 7432 and 7444. After we will calculate the factors of 7432 and 7444 and find the biggest common factor number .

Step-1: Prime Factorization of 7432

Prime factors of 7432 are 2, 929. Prime factorization of 7432 in exponential form is:

7432 = 2³ × 929¹

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 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1, 2, 4, 8, 929, 1858, 3716

Step-4: Factors of 7444

List of positive integer factors of 7444 that divides 7432 without a remainder.

1, 2, 4, 1861, 3722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7432 and 7444. The biggest common factor number is the GCF number.
So the greatest common factor 7432 and 7444 is 4.

Also check out the Least Common Multiple of 7432 and 7444