What is the Greatest Common Factor of 31100 and 31120?

Greatest common factor (GCF) of 31100 and 31120 is 20.

GCF(31100,31120) = 20

We will now calculate the prime factors of 31100 and 31120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31100 and 31120.

How to find the GCF of 31100 and 31120?

We will first find the prime factorization of 31100 and 31120. After we will calculate the factors of 31100 and 31120 and find the biggest common factor number .

Step-1: Prime Factorization of 31100

Prime factors of 31100 are 2, 5, 311. Prime factorization of 31100 in exponential form is:

31100 = 2² × 5² × 311¹

Step-2: Prime Factorization of 31120

Prime factors of 31120 are 2, 5, 389. Prime factorization of 31120 in exponential form is:

31120 = 2⁴ × 5¹ × 389¹

Step-3: Factors of 31100

List of positive integer factors of 31100 that divides 31100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 311, 622, 1244, 1555, 3110, 6220, 7775, 15550

Step-4: Factors of 31120

List of positive integer factors of 31120 that divides 31100 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 389, 778, 1556, 1945, 3112, 3890, 6224, 7780, 15560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31100 and 31120. The biggest common factor number is the GCF number.
So the greatest common factor 31100 and 31120 is 20.

Also check out the Least Common Multiple of 31100 and 31120