What is the Greatest Common Factor of 20864 and 20874?

Greatest common factor (GCF) of 20864 and 20874 is 2.

GCF(20864,20874) = 2

We will now calculate the prime factors of 20864 and 20874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20864 and 20874.

How to find the GCF of 20864 and 20874?

We will first find the prime factorization of 20864 and 20874. After we will calculate the factors of 20864 and 20874 and find the biggest common factor number .

Step-1: Prime Factorization of 20864

Prime factors of 20864 are 2, 163. Prime factorization of 20864 in exponential form is:

20864 = 2⁷ × 163¹

Step-2: 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-3: Factors of 20864

List of positive integer factors of 20864 that divides 20864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 163, 326, 652, 1304, 2608, 5216, 10432

Step-4: Factors of 20874

List of positive integer factors of 20874 that divides 20864 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20864 and 20874. The biggest common factor number is the GCF number.
So the greatest common factor 20864 and 20874 is 2.

Also check out the Least Common Multiple of 20864 and 20874