What is the Greatest Common Factor of 20623 and 20629?

Greatest common factor (GCF) of 20623 and 20629 is 1.

GCF(20623,20629) = 1

We will now calculate the prime factors of 20623 and 20629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20623 and 20629.

How to find the GCF of 20623 and 20629?

We will first find the prime factorization of 20623 and 20629. After we will calculate the factors of 20623 and 20629 and find the biggest common factor number .

Step-1: Prime Factorization of 20623

Prime factors of 20623 are 41, 503. Prime factorization of 20623 in exponential form is:

20623 = 41¹ × 503¹

Step-2: Prime Factorization of 20629

Prime factors of 20629 are 7, 421. Prime factorization of 20629 in exponential form is:

20629 = 7² × 421¹

Step-3: Factors of 20623

List of positive integer factors of 20623 that divides 20623 without a remainder.

1, 41, 503

Step-4: Factors of 20629

List of positive integer factors of 20629 that divides 20623 without a remainder.

1, 7, 49, 421, 2947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20623 and 20629. The biggest common factor number is the GCF number.
So the greatest common factor 20623 and 20629 is 1.

Also check out the Least Common Multiple of 20623 and 20629