What is the Greatest Common Factor of 31380 and 31391?

Greatest common factor (GCF) of 31380 and 31391 is 1.

GCF(31380,31391) = 1

We will now calculate the prime factors of 31380 and 31391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31380 and 31391.

How to find the GCF of 31380 and 31391?

We will first find the prime factorization of 31380 and 31391. After we will calculate the factors of 31380 and 31391 and find the biggest common factor number .

Step-1: Prime Factorization of 31380

Prime factors of 31380 are 2, 3, 5, 523. Prime factorization of 31380 in exponential form is:

31380 = 2² × 3¹ × 5¹ × 523¹

Step-2: Prime Factorization of 31391

Prime factors of 31391 are 31391. Prime factorization of 31391 in exponential form is:

31391 = 31391¹

Step-3: Factors of 31380

List of positive integer factors of 31380 that divides 31380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 523, 1046, 1569, 2092, 2615, 3138, 5230, 6276, 7845, 10460, 15690

Step-4: Factors of 31391

List of positive integer factors of 31391 that divides 31380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31380 and 31391. The biggest common factor number is the GCF number.
So the greatest common factor 31380 and 31391 is 1.

Also check out the Least Common Multiple of 31380 and 31391