What is the Greatest Common Factor of 20368 and 20379?

Greatest common factor (GCF) of 20368 and 20379 is 1.

GCF(20368,20379) = 1

We will now calculate the prime factors of 20368 and 20379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20368 and 20379.

How to find the GCF of 20368 and 20379?

We will first find the prime factorization of 20368 and 20379. After we will calculate the factors of 20368 and 20379 and find the biggest common factor number .

Step-1: Prime Factorization of 20368

Prime factors of 20368 are 2, 19, 67. Prime factorization of 20368 in exponential form is:

20368 = 2⁴ × 19¹ × 67¹

Step-2: Prime Factorization of 20379

Prime factors of 20379 are 3, 6793. Prime factorization of 20379 in exponential form is:

20379 = 3¹ × 6793¹

Step-3: Factors of 20368

List of positive integer factors of 20368 that divides 20368 without a remainder.

1, 2, 4, 8, 16, 19, 38, 67, 76, 134, 152, 268, 304, 536, 1072, 1273, 2546, 5092, 10184

Step-4: Factors of 20379

List of positive integer factors of 20379 that divides 20368 without a remainder.

1, 3, 6793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20368 and 20379. The biggest common factor number is the GCF number.
So the greatest common factor 20368 and 20379 is 1.

Also check out the Least Common Multiple of 20368 and 20379