What is the Greatest Common Factor of 49284 and 49296?

Greatest common factor (GCF) of 49284 and 49296 is 12.

GCF(49284,49296) = 12

We will now calculate the prime factors of 49284 and 49296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49284 and 49296.

How to find the GCF of 49284 and 49296?

We will first find the prime factorization of 49284 and 49296. After we will calculate the factors of 49284 and 49296 and find the biggest common factor number .

Step-1: Prime Factorization of 49284

Prime factors of 49284 are 2, 3, 37. Prime factorization of 49284 in exponential form is:

49284 = 2² × 3² × 37²

Step-2: Prime Factorization of 49296

Prime factors of 49296 are 2, 3, 13, 79. Prime factorization of 49296 in exponential form is:

49296 = 2⁴ × 3¹ × 13¹ × 79¹

Step-3: Factors of 49284

List of positive integer factors of 49284 that divides 49284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 37, 74, 111, 148, 222, 333, 444, 666, 1332, 1369, 2738, 4107, 5476, 8214, 12321, 16428, 24642

Step-4: Factors of 49296

List of positive integer factors of 49296 that divides 49284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 79, 104, 156, 158, 208, 237, 312, 316, 474, 624, 632, 948, 1027, 1264, 1896, 2054, 3081, 3792, 4108, 6162, 8216, 12324, 16432, 24648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49284 and 49296. The biggest common factor number is the GCF number.
So the greatest common factor 49284 and 49296 is 12.

Also check out the Least Common Multiple of 49284 and 49296