What is the Greatest Common Factor of 20609 and 20629?

Greatest common factor (GCF) of 20609 and 20629 is 1.

GCF(20609,20629) = 1

We will now calculate the prime factors of 20609 and 20629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20609 and 20629.

How to find the GCF of 20609 and 20629?

We will first find the prime factorization of 20609 and 20629. After we will calculate the factors of 20609 and 20629 and find the biggest common factor number .

Step-1: Prime Factorization of 20609

Prime factors of 20609 are 37, 557. Prime factorization of 20609 in exponential form is:

20609 = 37¹ × 557¹

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 20609

List of positive integer factors of 20609 that divides 20609 without a remainder.

1, 37, 557

Step-4: Factors of 20629

List of positive integer factors of 20629 that divides 20609 without a remainder.

1, 7, 49, 421, 2947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20609 and 20629. The biggest common factor number is the GCF number.
So the greatest common factor 20609 and 20629 is 1.

Also check out the Least Common Multiple of 20609 and 20629