What is the Greatest Common Factor of 68244 and 68256?

Greatest common factor (GCF) of 68244 and 68256 is 12.

GCF(68244,68256) = 12

We will now calculate the prime factors of 68244 and 68256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68244 and 68256.

How to find the GCF of 68244 and 68256?

We will first find the prime factorization of 68244 and 68256. After we will calculate the factors of 68244 and 68256 and find the biggest common factor number .

Step-1: Prime Factorization of 68244

Prime factors of 68244 are 2, 3, 11, 47. Prime factorization of 68244 in exponential form is:

68244 = 2² × 3¹ × 11² × 47¹

Step-2: Prime Factorization of 68256

Prime factors of 68256 are 2, 3, 79. Prime factorization of 68256 in exponential form is:

68256 = 2⁵ × 3³ × 79¹

Step-3: Factors of 68244

List of positive integer factors of 68244 that divides 68244 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 121, 132, 141, 188, 242, 282, 363, 484, 517, 564, 726, 1034, 1452, 1551, 2068, 3102, 5687, 6204, 11374, 17061, 22748, 34122

Step-4: Factors of 68256

List of positive integer factors of 68256 that divides 68244 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 79, 96, 108, 144, 158, 216, 237, 288, 316, 432, 474, 632, 711, 864, 948, 1264, 1422, 1896, 2133, 2528, 2844, 3792, 4266, 5688, 7584, 8532, 11376, 17064, 22752, 34128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68244 and 68256. The biggest common factor number is the GCF number.
So the greatest common factor 68244 and 68256 is 12.

Also check out the Least Common Multiple of 68244 and 68256