What is the Greatest Common Factor of 30904 and 30908?
Greatest common factor (GCF) of 30904 and 30908 is 4.
GCF(30904,30908) = 4
We will now calculate the prime factors of 30904 and 30908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30904 and 30908.
How to find the GCF of 30904 and 30908?
We will first find the prime factorization of 30904 and 30908. After we will calculate the factors of 30904 and 30908 and find the biggest common factor number .
Step-1: Prime Factorization of 30904
Prime factors of 30904 are 2, 3863. Prime factorization of 30904 in exponential form is:
30904 = 23 × 38631
Step-2: Prime Factorization of 30908
Prime factors of 30908 are 2, 7727. Prime factorization of 30908 in exponential form is:
30908 = 22 × 77271
Step-3: Factors of 30904
List of positive integer factors of 30904 that divides 30904 without a remainder.
1, 2, 4, 8, 3863, 7726, 15452
Step-4: Factors of 30908
List of positive integer factors of 30908 that divides 30904 without a remainder.
1, 2, 4, 7727, 15454
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30904 and 30908. The biggest common factor number is the GCF number.
So the greatest common factor 30904 and 30908 is 4.
Also check out the Least Common Multiple of 30904 and 30908
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