What is the Greatest Common Factor of 20208 and 20215?

Greatest common factor (GCF) of 20208 and 20215 is 1.

GCF(20208,20215) = 1

We will now calculate the prime factors of 20208 and 20215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20208 and 20215.

How to find the GCF of 20208 and 20215?

We will first find the prime factorization of 20208 and 20215. After we will calculate the factors of 20208 and 20215 and find the biggest common factor number .

Step-1: Prime Factorization of 20208

Prime factors of 20208 are 2, 3, 421. Prime factorization of 20208 in exponential form is:

20208 = 2⁴ × 3¹ × 421¹

Step-2: Prime Factorization of 20215

Prime factors of 20215 are 5, 13, 311. Prime factorization of 20215 in exponential form is:

20215 = 5¹ × 13¹ × 311¹

Step-3: Factors of 20208

List of positive integer factors of 20208 that divides 20208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 421, 842, 1263, 1684, 2526, 3368, 5052, 6736, 10104

Step-4: Factors of 20215

List of positive integer factors of 20215 that divides 20208 without a remainder.

1, 5, 13, 65, 311, 1555, 4043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20208 and 20215. The biggest common factor number is the GCF number.
So the greatest common factor 20208 and 20215 is 1.

Also check out the Least Common Multiple of 20208 and 20215