What is the Greatest Common Factor of 2623 and 2627?

Greatest common factor (GCF) of 2623 and 2627 is 1.

GCF(2623,2627) = 1

We will now calculate the prime factors of 2623 and 2627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2623 and 2627.

How to find the GCF of 2623 and 2627?

We will first find the prime factorization of 2623 and 2627. After we will calculate the factors of 2623 and 2627 and find the biggest common factor number .

Step-1: Prime Factorization of 2623

Prime factors of 2623 are 43, 61. Prime factorization of 2623 in exponential form is:

2623 = 43¹ × 61¹

Step-2: Prime Factorization of 2627

Prime factors of 2627 are 37, 71. Prime factorization of 2627 in exponential form is:

2627 = 37¹ × 71¹

Step-3: Factors of 2623

List of positive integer factors of 2623 that divides 2623 without a remainder.

1, 43, 61

Step-4: Factors of 2627

List of positive integer factors of 2627 that divides 2623 without a remainder.

1, 37, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2623 and 2627. The biggest common factor number is the GCF number.
So the greatest common factor 2623 and 2627 is 1.

Also check out the Least Common Multiple of 2623 and 2627