What is the Greatest Common Factor of 33690 and 33706?
Greatest common factor (GCF) of 33690 and 33706 is 2.
GCF(33690,33706) = 2
We will now calculate the prime factors of 33690 and 33706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33690 and 33706.
How to find the GCF of 33690 and 33706?
We will first find the prime factorization of 33690 and 33706. After we will calculate the factors of 33690 and 33706 and find the biggest common factor number .
Step-1: Prime Factorization of 33690
Prime factors of 33690 are 2, 3, 5, 1123. Prime factorization of 33690 in exponential form is:
33690 = 21 × 31 × 51 × 11231
Step-2: Prime Factorization of 33706
Prime factors of 33706 are 2, 19, 887. Prime factorization of 33706 in exponential form is:
33706 = 21 × 191 × 8871
Step-3: Factors of 33690
List of positive integer factors of 33690 that divides 33690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 1123, 2246, 3369, 5615, 6738, 11230, 16845
Step-4: Factors of 33706
List of positive integer factors of 33706 that divides 33690 without a remainder.
1, 2, 19, 38, 887, 1774, 16853
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 33690 and 33706. The biggest common factor number is the GCF number.
So the greatest common factor 33690 and 33706 is 2.
Also check out the Least Common Multiple of 33690 and 33706
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