What is the Greatest Common Factor of 82821 and 82840?

Greatest common factor (GCF) of 82821 and 82840 is 19.

GCF(82821,82840) = 19

We will now calculate the prime factors of 82821 and 82840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82821 and 82840.

How to find the GCF of 82821 and 82840?

We will first find the prime factorization of 82821 and 82840. After we will calculate the factors of 82821 and 82840 and find the biggest common factor number .

Step-1: Prime Factorization of 82821

Prime factors of 82821 are 3, 19, 1453. Prime factorization of 82821 in exponential form is:

82821 = 3¹ × 19¹ × 1453¹

Step-2: Prime Factorization of 82840

Prime factors of 82840 are 2, 5, 19, 109. Prime factorization of 82840 in exponential form is:

82840 = 2³ × 5¹ × 19¹ × 109¹

Step-3: Factors of 82821

List of positive integer factors of 82821 that divides 82821 without a remainder.

1, 3, 19, 57, 1453, 4359, 27607

Step-4: Factors of 82840

List of positive integer factors of 82840 that divides 82821 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 109, 152, 190, 218, 380, 436, 545, 760, 872, 1090, 2071, 2180, 4142, 4360, 8284, 10355, 16568, 20710, 41420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82821 and 82840. The biggest common factor number is the GCF number.
So the greatest common factor 82821 and 82840 is 19.

Also check out the Least Common Multiple of 82821 and 82840