What is the Greatest Common Factor of 20616 and 20629?

Greatest common factor (GCF) of 20616 and 20629 is 1.

GCF(20616,20629) = 1

We will now calculate the prime factors of 20616 and 20629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20616 and 20629.

How to find the GCF of 20616 and 20629?

We will first find the prime factorization of 20616 and 20629. After we will calculate the factors of 20616 and 20629 and find the biggest common factor number .

Step-1: Prime Factorization of 20616

Prime factors of 20616 are 2, 3, 859. Prime factorization of 20616 in exponential form is:

20616 = 2³ × 3¹ × 859¹

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 20616

List of positive integer factors of 20616 that divides 20616 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 859, 1718, 2577, 3436, 5154, 6872, 10308

Step-4: Factors of 20629

List of positive integer factors of 20629 that divides 20616 without a remainder.

1, 7, 49, 421, 2947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20616 and 20629. The biggest common factor number is the GCF number.
So the greatest common factor 20616 and 20629 is 1.

Also check out the Least Common Multiple of 20616 and 20629