What is the Greatest Common Factor of 29772 and 29784?

Greatest common factor (GCF) of 29772 and 29784 is 12.

GCF(29772,29784) = 12

We will now calculate the prime factors of 29772 and 29784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29772 and 29784.

How to find the GCF of 29772 and 29784?

We will first find the prime factorization of 29772 and 29784. After we will calculate the factors of 29772 and 29784 and find the biggest common factor number .

Step-1: Prime Factorization of 29772

Prime factors of 29772 are 2, 3, 827. Prime factorization of 29772 in exponential form is:

29772 = 2² × 3² × 827¹

Step-2: Prime Factorization of 29784

Prime factors of 29784 are 2, 3, 17, 73. Prime factorization of 29784 in exponential form is:

29784 = 2³ × 3¹ × 17¹ × 73¹

Step-3: Factors of 29772

List of positive integer factors of 29772 that divides 29772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 827, 1654, 2481, 3308, 4962, 7443, 9924, 14886

Step-4: Factors of 29784

List of positive integer factors of 29784 that divides 29772 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 73, 102, 136, 146, 204, 219, 292, 408, 438, 584, 876, 1241, 1752, 2482, 3723, 4964, 7446, 9928, 14892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29772 and 29784. The biggest common factor number is the GCF number.
So the greatest common factor 29772 and 29784 is 12.

Also check out the Least Common Multiple of 29772 and 29784