What is the Greatest Common Factor of 34806 and 34821?
Greatest common factor (GCF) of 34806 and 34821 is 3.
GCF(34806,34821) = 3
We will now calculate the prime factors of 34806 and 34821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34806 and 34821.
How to find the GCF of 34806 and 34821?
We will first find the prime factorization of 34806 and 34821. After we will calculate the factors of 34806 and 34821 and find the biggest common factor number .
Step-1: Prime Factorization of 34806
Prime factors of 34806 are 2, 3, 5801. Prime factorization of 34806 in exponential form is:
34806 = 21 × 31 × 58011
Step-2: Prime Factorization of 34821
Prime factors of 34821 are 3, 53, 73. Prime factorization of 34821 in exponential form is:
34821 = 32 × 531 × 731
Step-3: Factors of 34806
List of positive integer factors of 34806 that divides 34806 without a remainder.
1, 2, 3, 6, 5801, 11602, 17403
Step-4: Factors of 34821
List of positive integer factors of 34821 that divides 34806 without a remainder.
1, 3, 9, 53, 73, 159, 219, 477, 657, 3869, 11607
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34806 and 34821. The biggest common factor number is the GCF number.
So the greatest common factor 34806 and 34821 is 3.
Also check out the Least Common Multiple of 34806 and 34821
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