What is the Greatest Common Factor of 98790 and 98805?
Greatest common factor (GCF) of 98790 and 98805 is 15.
GCF(98790,98805) = 15
We will now calculate the prime factors of 98790 and 98805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98790 and 98805.
How to find the GCF of 98790 and 98805?
We will first find the prime factorization of 98790 and 98805. After we will calculate the factors of 98790 and 98805 and find the biggest common factor number .
Step-1: Prime Factorization of 98790
Prime factors of 98790 are 2, 3, 5, 37, 89. Prime factorization of 98790 in exponential form is:
98790 = 21 × 31 × 51 × 371 × 891
Step-2: Prime Factorization of 98805
Prime factors of 98805 are 3, 5, 7, 941. Prime factorization of 98805 in exponential form is:
98805 = 31 × 51 × 71 × 9411
Step-3: Factors of 98790
List of positive integer factors of 98790 that divides 98790 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 89, 111, 178, 185, 222, 267, 370, 445, 534, 555, 890, 1110, 1335, 2670, 3293, 6586, 9879, 16465, 19758, 32930, 49395
Step-4: Factors of 98805
List of positive integer factors of 98805 that divides 98790 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105, 941, 2823, 4705, 6587, 14115, 19761, 32935
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 98790 and 98805. The biggest common factor number is the GCF number.
So the greatest common factor 98790 and 98805 is 15.
Also check out the Least Common Multiple of 98790 and 98805
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