What is the Greatest Common Factor of 30741 and 30759?
Greatest common factor (GCF) of 30741 and 30759 is 3.
GCF(30741,30759) = 3
We will now calculate the prime factors of 30741 and 30759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30741 and 30759.
How to find the GCF of 30741 and 30759?
We will first find the prime factorization of 30741 and 30759. After we will calculate the factors of 30741 and 30759 and find the biggest common factor number .
Step-1: Prime Factorization of 30741
Prime factors of 30741 are 3, 10247. Prime factorization of 30741 in exponential form is:
30741 = 31 × 102471
Step-2: Prime Factorization of 30759
Prime factors of 30759 are 3, 10253. Prime factorization of 30759 in exponential form is:
30759 = 31 × 102531
Step-3: Factors of 30741
List of positive integer factors of 30741 that divides 30741 without a remainder.
1, 3, 10247
Step-4: Factors of 30759
List of positive integer factors of 30759 that divides 30741 without a remainder.
1, 3, 10253
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30741 and 30759. The biggest common factor number is the GCF number.
So the greatest common factor 30741 and 30759 is 3.
Also check out the Least Common Multiple of 30741 and 30759
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