What is the Greatest Common Factor of 2683 and 2701?

Greatest common factor (GCF) of 2683 and 2701 is 1.

GCF(2683,2701) = 1

We will now calculate the prime factors of 2683 and 2701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2683 and 2701.

How to find the GCF of 2683 and 2701?

We will first find the prime factorization of 2683 and 2701. After we will calculate the factors of 2683 and 2701 and find the biggest common factor number .

Step-1: Prime Factorization of 2683

Prime factors of 2683 are 2683. Prime factorization of 2683 in exponential form is:

2683 = 2683¹

Step-2: Prime Factorization of 2701

Prime factors of 2701 are 37, 73. Prime factorization of 2701 in exponential form is:

2701 = 37¹ × 73¹

Step-3: Factors of 2683

List of positive integer factors of 2683 that divides 2683 without a remainder.

Step-4: Factors of 2701

List of positive integer factors of 2701 that divides 2683 without a remainder.

1, 37, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2683 and 2701. The biggest common factor number is the GCF number.
So the greatest common factor 2683 and 2701 is 1.

Also check out the Least Common Multiple of 2683 and 2701