What is the Greatest Common Factor of 33916 and 33936?

Greatest common factor (GCF) of 33916 and 33936 is 4.

GCF(33916,33936) = 4

We will now calculate the prime factors of 33916 and 33936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33916 and 33936.

How to find the GCF of 33916 and 33936?

We will first find the prime factorization of 33916 and 33936. After we will calculate the factors of 33916 and 33936 and find the biggest common factor number .

Step-1: Prime Factorization of 33916

Prime factors of 33916 are 2, 61, 139. Prime factorization of 33916 in exponential form is:

33916 = 2² × 61¹ × 139¹

Step-2: Prime Factorization of 33936

Prime factors of 33936 are 2, 3, 7, 101. Prime factorization of 33936 in exponential form is:

33936 = 2⁴ × 3¹ × 7¹ × 101¹

Step-3: Factors of 33916

List of positive integer factors of 33916 that divides 33916 without a remainder.

1, 2, 4, 61, 122, 139, 244, 278, 556, 8479, 16958

Step-4: Factors of 33936

List of positive integer factors of 33936 that divides 33916 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 101, 112, 168, 202, 303, 336, 404, 606, 707, 808, 1212, 1414, 1616, 2121, 2424, 2828, 4242, 4848, 5656, 8484, 11312, 16968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33916 and 33936. The biggest common factor number is the GCF number.
So the greatest common factor 33916 and 33936 is 4.

Also check out the Least Common Multiple of 33916 and 33936