What is the Greatest Common Factor of 2120 and 2131?

Greatest common factor (GCF) of 2120 and 2131 is 1.

GCF(2120,2131) = 1

We will now calculate the prime factors of 2120 and 2131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2120 and 2131.

How to find the GCF of 2120 and 2131?

We will first find the prime factorization of 2120 and 2131. After we will calculate the factors of 2120 and 2131 and find the biggest common factor number .

Step-1: Prime Factorization of 2120

Prime factors of 2120 are 2, 5, 53. Prime factorization of 2120 in exponential form is:

2120 = 2³ × 5¹ × 53¹

Step-2: Prime Factorization of 2131

Prime factors of 2131 are 2131. Prime factorization of 2131 in exponential form is:

2131 = 2131¹

Step-3: Factors of 2120

List of positive integer factors of 2120 that divides 2120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060

Step-4: Factors of 2131

List of positive integer factors of 2131 that divides 2120 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2120 and 2131. The biggest common factor number is the GCF number.
So the greatest common factor 2120 and 2131 is 1.

Also check out the Least Common Multiple of 2120 and 2131