What is the Greatest Common Factor of 96248 and 96256?
Greatest common factor (GCF) of 96248 and 96256 is 8.
GCF(96248,96256) = 8
We will now calculate the prime factors of 96248 and 96256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96248 and 96256.
How to find the GCF of 96248 and 96256?
We will first find the prime factorization of 96248 and 96256. After we will calculate the factors of 96248 and 96256 and find the biggest common factor number .
Step-1: Prime Factorization of 96248
Prime factors of 96248 are 2, 53, 227. Prime factorization of 96248 in exponential form is:
96248 = 23 × 531 × 2271
Step-2: Prime Factorization of 96256
Prime factors of 96256 are 2, 47. Prime factorization of 96256 in exponential form is:
96256 = 211 × 471
Step-3: Factors of 96248
List of positive integer factors of 96248 that divides 96248 without a remainder.
1, 2, 4, 8, 53, 106, 212, 227, 424, 454, 908, 1816, 12031, 24062, 48124
Step-4: Factors of 96256
List of positive integer factors of 96256 that divides 96248 without a remainder.
1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1024, 1504, 2048, 3008, 6016, 12032, 24064, 48128
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96248 and 96256. The biggest common factor number is the GCF number.
So the greatest common factor 96248 and 96256 is 8.
Also check out the Least Common Multiple of 96248 and 96256
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