What is the Greatest Common Factor of 2107 and 2121?

Greatest common factor (GCF) of 2107 and 2121 is 7.

GCF(2107,2121) = 7

We will now calculate the prime factors of 2107 and 2121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2107 and 2121.

How to find the GCF of 2107 and 2121?

We will first find the prime factorization of 2107 and 2121. After we will calculate the factors of 2107 and 2121 and find the biggest common factor number .

Step-1: Prime Factorization of 2107

Prime factors of 2107 are 7, 43. Prime factorization of 2107 in exponential form is:

2107 = 7² × 43¹

Step-2: Prime Factorization of 2121

Prime factors of 2121 are 3, 7, 101. Prime factorization of 2121 in exponential form is:

2121 = 3¹ × 7¹ × 101¹

Step-3: Factors of 2107

List of positive integer factors of 2107 that divides 2107 without a remainder.

1, 7, 43, 49, 301

Step-4: Factors of 2121

List of positive integer factors of 2121 that divides 2107 without a remainder.

1, 3, 7, 21, 101, 303, 707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2107 and 2121. The biggest common factor number is the GCF number.
So the greatest common factor 2107 and 2121 is 7.

Also check out the Least Common Multiple of 2107 and 2121