What is the Greatest Common Factor of 30924 and 30936?

Greatest common factor (GCF) of 30924 and 30936 is 12.

GCF(30924,30936) = 12

We will now calculate the prime factors of 30924 and 30936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30924 and 30936.

How to find the GCF of 30924 and 30936?

We will first find the prime factorization of 30924 and 30936. After we will calculate the factors of 30924 and 30936 and find the biggest common factor number .

Step-1: Prime Factorization of 30924

Prime factors of 30924 are 2, 3, 859. Prime factorization of 30924 in exponential form is:

30924 = 2² × 3² × 859¹

Step-2: Prime Factorization of 30936

Prime factors of 30936 are 2, 3, 1289. Prime factorization of 30936 in exponential form is:

30936 = 2³ × 3¹ × 1289¹

Step-3: Factors of 30924

List of positive integer factors of 30924 that divides 30924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 859, 1718, 2577, 3436, 5154, 7731, 10308, 15462

Step-4: Factors of 30936

List of positive integer factors of 30936 that divides 30924 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1289, 2578, 3867, 5156, 7734, 10312, 15468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30924 and 30936. The biggest common factor number is the GCF number.
So the greatest common factor 30924 and 30936 is 12.

Also check out the Least Common Multiple of 30924 and 30936