What is the Greatest Common Factor of 20605 and 20624?

Greatest common factor (GCF) of 20605 and 20624 is 1.

GCF(20605,20624) = 1

We will now calculate the prime factors of 20605 and 20624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20605 and 20624.

How to find the GCF of 20605 and 20624?

We will first find the prime factorization of 20605 and 20624. After we will calculate the factors of 20605 and 20624 and find the biggest common factor number .

Step-1: Prime Factorization of 20605

Prime factors of 20605 are 5, 13, 317. Prime factorization of 20605 in exponential form is:

20605 = 5¹ × 13¹ × 317¹

Step-2: Prime Factorization of 20624

Prime factors of 20624 are 2, 1289. Prime factorization of 20624 in exponential form is:

20624 = 2⁴ × 1289¹

Step-3: Factors of 20605

List of positive integer factors of 20605 that divides 20605 without a remainder.

1, 5, 13, 65, 317, 1585, 4121

Step-4: Factors of 20624

List of positive integer factors of 20624 that divides 20605 without a remainder.

1, 2, 4, 8, 16, 1289, 2578, 5156, 10312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20605 and 20624. The biggest common factor number is the GCF number.
So the greatest common factor 20605 and 20624 is 1.

Also check out the Least Common Multiple of 20605 and 20624