What is the Greatest Common Factor of 20870 and 20874?

Greatest common factor (GCF) of 20870 and 20874 is 2.

GCF(20870,20874) = 2

We will now calculate the prime factors of 20870 and 20874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20870 and 20874.

How to find the GCF of 20870 and 20874?

We will first find the prime factorization of 20870 and 20874. After we will calculate the factors of 20870 and 20874 and find the biggest common factor number .

Step-1: Prime Factorization of 20870

Prime factors of 20870 are 2, 5, 2087. Prime factorization of 20870 in exponential form is:

20870 = 2¹ × 5¹ × 2087¹

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 20870

List of positive integer factors of 20870 that divides 20870 without a remainder.

1, 2, 5, 10, 2087, 4174, 10435

Step-4: Factors of 20874

List of positive integer factors of 20874 that divides 20870 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 20870 and 20874. The biggest common factor number is the GCF number.
So the greatest common factor 20870 and 20874 is 2.

Also check out the Least Common Multiple of 20870 and 20874