What is the Greatest Common Factor of 31390 and 31409?

Greatest common factor (GCF) of 31390 and 31409 is 1.

GCF(31390,31409) = 1

We will now calculate the prime factors of 31390 and 31409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31390 and 31409.

How to find the GCF of 31390 and 31409?

We will first find the prime factorization of 31390 and 31409. After we will calculate the factors of 31390 and 31409 and find the biggest common factor number .

Step-1: Prime Factorization of 31390

Prime factors of 31390 are 2, 5, 43, 73. Prime factorization of 31390 in exponential form is:

31390 = 2¹ × 5¹ × 43¹ × 73¹

Step-2: Prime Factorization of 31409

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

31409 = 7² × 641¹

Step-3: Factors of 31390

List of positive integer factors of 31390 that divides 31390 without a remainder.

1, 2, 5, 10, 43, 73, 86, 146, 215, 365, 430, 730, 3139, 6278, 15695

Step-4: Factors of 31409

List of positive integer factors of 31409 that divides 31390 without a remainder.

1, 7, 49, 641, 4487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31390 and 31409. The biggest common factor number is the GCF number.
So the greatest common factor 31390 and 31409 is 1.

Also check out the Least Common Multiple of 31390 and 31409