What is the Greatest Common Factor of 96880 and 96896?
Greatest common factor (GCF) of 96880 and 96896 is 16.
GCF(96880,96896) = 16
We will now calculate the prime factors of 96880 and 96896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96880 and 96896.
How to find the GCF of 96880 and 96896?
We will first find the prime factorization of 96880 and 96896. After we will calculate the factors of 96880 and 96896 and find the biggest common factor number .
Step-1: Prime Factorization of 96880
Prime factors of 96880 are 2, 5, 7, 173. Prime factorization of 96880 in exponential form is:
96880 = 24 × 51 × 71 × 1731
Step-2: Prime Factorization of 96896
Prime factors of 96896 are 2, 757. Prime factorization of 96896 in exponential form is:
96896 = 27 × 7571
Step-3: Factors of 96880
List of positive integer factors of 96880 that divides 96880 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 173, 280, 346, 560, 692, 865, 1211, 1384, 1730, 2422, 2768, 3460, 4844, 6055, 6920, 9688, 12110, 13840, 19376, 24220, 48440
Step-4: Factors of 96896
List of positive integer factors of 96896 that divides 96880 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 757, 1514, 3028, 6056, 12112, 24224, 48448
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96880 and 96896. The biggest common factor number is the GCF number.
So the greatest common factor 96880 and 96896 is 16.
Also check out the Least Common Multiple of 96880 and 96896
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