What is the Greatest Common Factor of 3414 and 3431?

Greatest common factor (GCF) of 3414 and 3431 is 1.

GCF(3414,3431) = 1

We will now calculate the prime factors of 3414 and 3431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3414 and 3431.

How to find the GCF of 3414 and 3431?

We will first find the prime factorization of 3414 and 3431. After we will calculate the factors of 3414 and 3431 and find the biggest common factor number .

Step-1: Prime Factorization of 3414

Prime factors of 3414 are 2, 3, 569. Prime factorization of 3414 in exponential form is:

3414 = 2¹ × 3¹ × 569¹

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 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1, 2, 3, 6, 569, 1138, 1707

Step-4: Factors of 3431

List of positive integer factors of 3431 that divides 3414 without a remainder.

1, 47, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3414 and 3431. The biggest common factor number is the GCF number.
So the greatest common factor 3414 and 3431 is 1.

Also check out the Least Common Multiple of 3414 and 3431