What is the Greatest Common Factor of 31409 and 31426?

Greatest common factor (GCF) of 31409 and 31426 is 1.

GCF(31409,31426) = 1

We will now calculate the prime factors of 31409 and 31426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31409 and 31426.

How to find the GCF of 31409 and 31426?

We will first find the prime factorization of 31409 and 31426. After we will calculate the factors of 31409 and 31426 and find the biggest common factor number .

Step-1: Prime Factorization of 31409

Prime factors of 31409 are 7, 641. Prime factorization of 31409 in exponential form is:

31409 = 7² × 641¹

Step-2: Prime Factorization of 31426

Prime factors of 31426 are 2, 19, 827. Prime factorization of 31426 in exponential form is:

31426 = 2¹ × 19¹ × 827¹

Step-3: Factors of 31409

List of positive integer factors of 31409 that divides 31409 without a remainder.

1, 7, 49, 641, 4487

Step-4: Factors of 31426

List of positive integer factors of 31426 that divides 31409 without a remainder.

1, 2, 19, 38, 827, 1654, 15713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31409 and 31426. The biggest common factor number is the GCF number.
So the greatest common factor 31409 and 31426 is 1.

Also check out the Least Common Multiple of 31409 and 31426