What is the Greatest Common Factor of 20683 and 20696?

Greatest common factor (GCF) of 20683 and 20696 is 13.

GCF(20683,20696) = 13

We will now calculate the prime factors of 20683 and 20696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20683 and 20696.

How to find the GCF of 20683 and 20696?

We will first find the prime factorization of 20683 and 20696. After we will calculate the factors of 20683 and 20696 and find the biggest common factor number .

Step-1: Prime Factorization of 20683

Prime factors of 20683 are 13, 37, 43. Prime factorization of 20683 in exponential form is:

20683 = 13¹ × 37¹ × 43¹

Step-2: Prime Factorization of 20696

Prime factors of 20696 are 2, 13, 199. Prime factorization of 20696 in exponential form is:

20696 = 2³ × 13¹ × 199¹

Step-3: Factors of 20683

List of positive integer factors of 20683 that divides 20683 without a remainder.

1, 13, 37, 43, 481, 559, 1591

Step-4: Factors of 20696

List of positive integer factors of 20696 that divides 20683 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 199, 398, 796, 1592, 2587, 5174, 10348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20683 and 20696. The biggest common factor number is the GCF number.
So the greatest common factor 20683 and 20696 is 13.

Also check out the Least Common Multiple of 20683 and 20696