What is the Greatest Common Factor of 96802 and 96816?
Greatest common factor (GCF) of 96802 and 96816 is 2.
GCF(96802,96816) = 2
We will now calculate the prime factors of 96802 and 96816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96802 and 96816.
How to find the GCF of 96802 and 96816?
We will first find the prime factorization of 96802 and 96816. After we will calculate the factors of 96802 and 96816 and find the biggest common factor number .
Step-1: Prime Factorization of 96802
Prime factors of 96802 are 2, 29, 1669. Prime factorization of 96802 in exponential form is:
96802 = 21 × 291 × 16691
Step-2: Prime Factorization of 96816
Prime factors of 96816 are 2, 3, 2017. Prime factorization of 96816 in exponential form is:
96816 = 24 × 31 × 20171
Step-3: Factors of 96802
List of positive integer factors of 96802 that divides 96802 without a remainder.
1, 2, 29, 58, 1669, 3338, 48401
Step-4: Factors of 96816
List of positive integer factors of 96816 that divides 96802 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2017, 4034, 6051, 8068, 12102, 16136, 24204, 32272, 48408
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96802 and 96816. The biggest common factor number is the GCF number.
So the greatest common factor 96802 and 96816 is 2.
Also check out the Least Common Multiple of 96802 and 96816
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