What is the Greatest Common Factor of 66835 and 66850?
Greatest common factor (GCF) of 66835 and 66850 is 5.
GCF(66835,66850) = 5
We will now calculate the prime factors of 66835 and 66850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66835 and 66850.
How to find the GCF of 66835 and 66850?
We will first find the prime factorization of 66835 and 66850. After we will calculate the factors of 66835 and 66850 and find the biggest common factor number .
Step-1: Prime Factorization of 66835
Prime factors of 66835 are 5, 13367. Prime factorization of 66835 in exponential form is:
66835 = 51 × 133671
Step-2: Prime Factorization of 66850
Prime factors of 66850 are 2, 5, 7, 191. Prime factorization of 66850 in exponential form is:
66850 = 21 × 52 × 71 × 1911
Step-3: Factors of 66835
List of positive integer factors of 66835 that divides 66835 without a remainder.
1, 5, 13367
Step-4: Factors of 66850
List of positive integer factors of 66850 that divides 66835 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 191, 350, 382, 955, 1337, 1910, 2674, 4775, 6685, 9550, 13370, 33425
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 66835 and 66850. The biggest common factor number is the GCF number.
So the greatest common factor 66835 and 66850 is 5.
Also check out the Least Common Multiple of 66835 and 66850
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