What is the Greatest Common Factor of 3425 and 3444?

Greatest common factor (GCF) of 3425 and 3444 is 1.

GCF(3425,3444) = 1

We will now calculate the prime factors of 3425 and 3444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3425 and 3444.

How to find the GCF of 3425 and 3444?

We will first find the prime factorization of 3425 and 3444. After we will calculate the factors of 3425 and 3444 and find the biggest common factor number .

Step-1: Prime Factorization of 3425

Prime factors of 3425 are 5, 137. Prime factorization of 3425 in exponential form is:

3425 = 5² × 137¹

Step-2: Prime Factorization of 3444

Prime factors of 3444 are 2, 3, 7, 41. Prime factorization of 3444 in exponential form is:

3444 = 2² × 3¹ × 7¹ × 41¹

Step-3: Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1, 5, 25, 137, 685

Step-4: Factors of 3444

List of positive integer factors of 3444 that divides 3425 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3425 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3425 and 3444 is 1.

Also check out the Least Common Multiple of 3425 and 3444