What is the Greatest Common Factor of 68252 and 68256?

Greatest common factor (GCF) of 68252 and 68256 is 4.

GCF(68252,68256) = 4

We will now calculate the prime factors of 68252 and 68256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68252 and 68256.

How to find the GCF of 68252 and 68256?

We will first find the prime factorization of 68252 and 68256. After we will calculate the factors of 68252 and 68256 and find the biggest common factor number .

Step-1: Prime Factorization of 68252

Prime factors of 68252 are 2, 113, 151. Prime factorization of 68252 in exponential form is:

68252 = 2² × 113¹ × 151¹

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 68252

List of positive integer factors of 68252 that divides 68252 without a remainder.

1, 2, 4, 113, 151, 226, 302, 452, 604, 17063, 34126

Step-4: Factors of 68256

List of positive integer factors of 68256 that divides 68252 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 68252 and 68256. The biggest common factor number is the GCF number.
So the greatest common factor 68252 and 68256 is 4.

Also check out the Least Common Multiple of 68252 and 68256