What is the Greatest Common Factor of 20874 and 20882?

Greatest common factor (GCF) of 20874 and 20882 is 2.

GCF(20874,20882) = 2

We will now calculate the prime factors of 20874 and 20882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20874 and 20882.

How to find the GCF of 20874 and 20882?

We will first find the prime factorization of 20874 and 20882. After we will calculate the factors of 20874 and 20882 and find the biggest common factor number .

Step-1: Prime Factorization of 20874

Prime factors of 20874 are 2, 3, 7, 71. Prime factorization of 20874 in exponential form is:

20874 = 2¹ × 3¹ × 7² × 71¹

Step-2: Prime Factorization of 20882

Prime factors of 20882 are 2, 53, 197. Prime factorization of 20882 in exponential form is:

20882 = 2¹ × 53¹ × 197¹

Step-3: Factors of 20874

List of positive integer factors of 20874 that divides 20874 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 71, 98, 142, 147, 213, 294, 426, 497, 994, 1491, 2982, 3479, 6958, 10437

Step-4: Factors of 20882

List of positive integer factors of 20882 that divides 20874 without a remainder.

1, 2, 53, 106, 197, 394, 10441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20874 and 20882. The biggest common factor number is the GCF number.
So the greatest common factor 20874 and 20882 is 2.

Also check out the Least Common Multiple of 20874 and 20882