What is the Greatest Common Factor of 20916 and 20936?

Greatest common factor (GCF) of 20916 and 20936 is 4.

GCF(20916,20936) = 4

We will now calculate the prime factors of 20916 and 20936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20916 and 20936.

How to find the GCF of 20916 and 20936?

We will first find the prime factorization of 20916 and 20936. After we will calculate the factors of 20916 and 20936 and find the biggest common factor number .

Step-1: Prime Factorization of 20916

Prime factors of 20916 are 2, 3, 7, 83. Prime factorization of 20916 in exponential form is:

20916 = 2² × 3² × 7¹ × 83¹

Step-2: Prime Factorization of 20936

Prime factors of 20936 are 2, 2617. Prime factorization of 20936 in exponential form is:

20936 = 2³ × 2617¹

Step-3: Factors of 20916

List of positive integer factors of 20916 that divides 20916 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 83, 84, 126, 166, 249, 252, 332, 498, 581, 747, 996, 1162, 1494, 1743, 2324, 2988, 3486, 5229, 6972, 10458

Step-4: Factors of 20936

List of positive integer factors of 20936 that divides 20916 without a remainder.

1, 2, 4, 8, 2617, 5234, 10468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20916 and 20936. The biggest common factor number is the GCF number.
So the greatest common factor 20916 and 20936 is 4.

Also check out the Least Common Multiple of 20916 and 20936