What is the Greatest Common Factor of 68240 and 68256?

Greatest common factor (GCF) of 68240 and 68256 is 16.

GCF(68240,68256) = 16

We will now calculate the prime factors of 68240 and 68256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68240 and 68256.

How to find the GCF of 68240 and 68256?

We will first find the prime factorization of 68240 and 68256. After we will calculate the factors of 68240 and 68256 and find the biggest common factor number .

Step-1: Prime Factorization of 68240

Prime factors of 68240 are 2, 5, 853. Prime factorization of 68240 in exponential form is:

68240 = 2⁴ × 5¹ × 853¹

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 68240

List of positive integer factors of 68240 that divides 68240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 853, 1706, 3412, 4265, 6824, 8530, 13648, 17060, 34120

Step-4: Factors of 68256

List of positive integer factors of 68256 that divides 68240 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 68240 and 68256. The biggest common factor number is the GCF number.
So the greatest common factor 68240 and 68256 is 16.

Also check out the Least Common Multiple of 68240 and 68256