What is the Greatest Common Factor of 20677 and 20696?

Greatest common factor (GCF) of 20677 and 20696 is 1.

GCF(20677,20696) = 1

We will now calculate the prime factors of 20677 and 20696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20677 and 20696.

How to find the GCF of 20677 and 20696?

We will first find the prime factorization of 20677 and 20696. After we will calculate the factors of 20677 and 20696 and find the biggest common factor number .

Step-1: Prime Factorization of 20677

Prime factors of 20677 are 23, 29, 31. Prime factorization of 20677 in exponential form is:

20677 = 23¹ × 29¹ × 31¹

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 20677

List of positive integer factors of 20677 that divides 20677 without a remainder.

1, 23, 29, 31, 667, 713, 899

Step-4: Factors of 20696

List of positive integer factors of 20696 that divides 20677 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 20677 and 20696. The biggest common factor number is the GCF number.
So the greatest common factor 20677 and 20696 is 1.

Also check out the Least Common Multiple of 20677 and 20696