What is the Greatest Common Factor of 20696 and 20709?

Greatest common factor (GCF) of 20696 and 20709 is 13.

GCF(20696,20709) = 13

We will now calculate the prime factors of 20696 and 20709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20696 and 20709.

How to find the GCF of 20696 and 20709?

We will first find the prime factorization of 20696 and 20709. After we will calculate the factors of 20696 and 20709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20709

Prime factors of 20709 are 3, 13, 59. Prime factorization of 20709 in exponential form is:

20709 = 3³ × 13¹ × 59¹

Step-3: Factors of 20696

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

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

Step-4: Factors of 20709

List of positive integer factors of 20709 that divides 20696 without a remainder.

1, 3, 9, 13, 27, 39, 59, 117, 177, 351, 531, 767, 1593, 2301, 6903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20696 and 20709. The biggest common factor number is the GCF number.
So the greatest common factor 20696 and 20709 is 13.

Also check out the Least Common Multiple of 20696 and 20709