What is the Greatest Common Factor of 20829 and 20840?

Greatest common factor (GCF) of 20829 and 20840 is 1.

GCF(20829,20840) = 1

We will now calculate the prime factors of 20829 and 20840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20829 and 20840.

How to find the GCF of 20829 and 20840?

We will first find the prime factorization of 20829 and 20840. After we will calculate the factors of 20829 and 20840 and find the biggest common factor number .

Step-1: Prime Factorization of 20829

Prime factors of 20829 are 3, 53, 131. Prime factorization of 20829 in exponential form is:

20829 = 3¹ × 53¹ × 131¹

Step-2: Prime Factorization of 20840

Prime factors of 20840 are 2, 5, 521. Prime factorization of 20840 in exponential form is:

20840 = 2³ × 5¹ × 521¹

Step-3: Factors of 20829

List of positive integer factors of 20829 that divides 20829 without a remainder.

1, 3, 53, 131, 159, 393, 6943

Step-4: Factors of 20840

List of positive integer factors of 20840 that divides 20829 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 521, 1042, 2084, 2605, 4168, 5210, 10420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20829 and 20840. The biggest common factor number is the GCF number.
So the greatest common factor 20829 and 20840 is 1.

Also check out the Least Common Multiple of 20829 and 20840