What is the Greatest Common Factor of 20307 and 20315?

Greatest common factor (GCF) of 20307 and 20315 is 1.

GCF(20307,20315) = 1

We will now calculate the prime factors of 20307 and 20315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20307 and 20315.

How to find the GCF of 20307 and 20315?

We will first find the prime factorization of 20307 and 20315. After we will calculate the factors of 20307 and 20315 and find the biggest common factor number .

Step-1: Prime Factorization of 20307

Prime factors of 20307 are 3, 7, 967. Prime factorization of 20307 in exponential form is:

20307 = 3¹ × 7¹ × 967¹

Step-2: Prime Factorization of 20315

Prime factors of 20315 are 5, 17, 239. Prime factorization of 20315 in exponential form is:

20315 = 5¹ × 17¹ × 239¹

Step-3: Factors of 20307

List of positive integer factors of 20307 that divides 20307 without a remainder.

1, 3, 7, 21, 967, 2901, 6769

Step-4: Factors of 20315

List of positive integer factors of 20315 that divides 20307 without a remainder.

1, 5, 17, 85, 239, 1195, 4063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20307 and 20315. The biggest common factor number is the GCF number.
So the greatest common factor 20307 and 20315 is 1.

Also check out the Least Common Multiple of 20307 and 20315