What is the Greatest Common Factor of 96998 and 97016?
Greatest common factor (GCF) of 96998 and 97016 is 2.
GCF(96998,97016) = 2
We will now calculate the prime factors of 96998 and 97016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96998 and 97016.
How to find the GCF of 96998 and 97016?
We will first find the prime factorization of 96998 and 97016. After we will calculate the factors of 96998 and 97016 and find the biggest common factor number .
Step-1: Prime Factorization of 96998
Prime factors of 96998 are 2, 11, 4409. Prime factorization of 96998 in exponential form is:
96998 = 21 × 111 × 44091
Step-2: Prime Factorization of 97016
Prime factors of 97016 are 2, 67, 181. Prime factorization of 97016 in exponential form is:
97016 = 23 × 671 × 1811
Step-3: Factors of 96998
List of positive integer factors of 96998 that divides 96998 without a remainder.
1, 2, 11, 22, 4409, 8818, 48499
Step-4: Factors of 97016
List of positive integer factors of 97016 that divides 96998 without a remainder.
1, 2, 4, 8, 67, 134, 181, 268, 362, 536, 724, 1448, 12127, 24254, 48508
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 96998 and 97016. The biggest common factor number is the GCF number.
So the greatest common factor 96998 and 97016 is 2.
Also check out the Least Common Multiple of 96998 and 97016
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