What is the Greatest Common Factor of 3425 and 3431?

Greatest common factor (GCF) of 3425 and 3431 is 1.

GCF(3425,3431) = 1

We will now calculate the prime factors of 3425 and 3431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3425 and 3431.

How to find the GCF of 3425 and 3431?

We will first find the prime factorization of 3425 and 3431. After we will calculate the factors of 3425 and 3431 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 3431

Prime factors of 3431 are 47, 73. Prime factorization of 3431 in exponential form is:

3431 = 47¹ × 73¹

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 3431

List of positive integer factors of 3431 that divides 3425 without a remainder.

1, 47, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3425 and 3431. The biggest common factor number is the GCF number.
So the greatest common factor 3425 and 3431 is 1.

Also check out the Least Common Multiple of 3425 and 3431