What is the Greatest Common Factor of 31600 and 31613?

Greatest common factor (GCF) of 31600 and 31613 is 1.

GCF(31600,31613) = 1

We will now calculate the prime factors of 31600 and 31613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31600 and 31613.

How to find the GCF of 31600 and 31613?

We will first find the prime factorization of 31600 and 31613. After we will calculate the factors of 31600 and 31613 and find the biggest common factor number .

Step-1: Prime Factorization of 31600

Prime factors of 31600 are 2, 5, 79. Prime factorization of 31600 in exponential form is:

31600 = 2⁴ × 5² × 79¹

Step-2: Prime Factorization of 31613

Prime factors of 31613 are 101, 313. Prime factorization of 31613 in exponential form is:

31613 = 101¹ × 313¹

Step-3: Factors of 31600

List of positive integer factors of 31600 that divides 31600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 79, 80, 100, 158, 200, 316, 395, 400, 632, 790, 1264, 1580, 1975, 3160, 3950, 6320, 7900, 15800

Step-4: Factors of 31613

List of positive integer factors of 31613 that divides 31600 without a remainder.

1, 101, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31600 and 31613. The biggest common factor number is the GCF number.
So the greatest common factor 31600 and 31613 is 1.

Also check out the Least Common Multiple of 31600 and 31613