What is the Greatest Common Factor of 31600 and 31618?

Greatest common factor (GCF) of 31600 and 31618 is 2.

GCF(31600,31618) = 2

We will now calculate the prime factors of 31600 and 31618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31600 and 31618.

How to find the GCF of 31600 and 31618?

We will first find the prime factorization of 31600 and 31618. After we will calculate the factors of 31600 and 31618 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 31618

Prime factors of 31618 are 2, 15809. Prime factorization of 31618 in exponential form is:

31618 = 2¹ × 15809¹

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 31618

List of positive integer factors of 31618 that divides 31600 without a remainder.

1, 2, 15809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31600 and 31618. The biggest common factor number is the GCF number.
So the greatest common factor 31600 and 31618 is 2.

Also check out the Least Common Multiple of 31600 and 31618