What is the Greatest Common Factor of 30783 and 30789?
Greatest common factor (GCF) of 30783 and 30789 is 3.
GCF(30783,30789) = 3
We will now calculate the prime factors of 30783 and 30789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30783 and 30789.
How to find the GCF of 30783 and 30789?
We will first find the prime factorization of 30783 and 30789. After we will calculate the factors of 30783 and 30789 and find the biggest common factor number .
Step-1: Prime Factorization of 30783
Prime factors of 30783 are 3, 31, 331. Prime factorization of 30783 in exponential form is:
30783 = 31 × 311 × 3311
Step-2: Prime Factorization of 30789
Prime factors of 30789 are 3, 11, 311. Prime factorization of 30789 in exponential form is:
30789 = 32 × 111 × 3111
Step-3: Factors of 30783
List of positive integer factors of 30783 that divides 30783 without a remainder.
1, 3, 31, 93, 331, 993, 10261
Step-4: Factors of 30789
List of positive integer factors of 30789 that divides 30783 without a remainder.
1, 3, 9, 11, 33, 99, 311, 933, 2799, 3421, 10263
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30783 and 30789. The biggest common factor number is the GCF number.
So the greatest common factor 30783 and 30789 is 3.
Also check out the Least Common Multiple of 30783 and 30789
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