What is the Greatest Common Factor of 38295 and 38313?
Greatest common factor (GCF) of 38295 and 38313 is 9.
GCF(38295,38313) = 9
We will now calculate the prime factors of 38295 and 38313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38295 and 38313.
How to find the GCF of 38295 and 38313?
We will first find the prime factorization of 38295 and 38313. After we will calculate the factors of 38295 and 38313 and find the biggest common factor number .
Step-1: Prime Factorization of 38295
Prime factors of 38295 are 3, 5, 23, 37. Prime factorization of 38295 in exponential form is:
38295 = 32 × 51 × 231 × 371
Step-2: Prime Factorization of 38313
Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:
38313 = 34 × 111 × 431
Step-3: Factors of 38295
List of positive integer factors of 38295 that divides 38295 without a remainder.
1, 3, 5, 9, 15, 23, 37, 45, 69, 111, 115, 185, 207, 333, 345, 555, 851, 1035, 1665, 2553, 4255, 7659, 12765
Step-4: Factors of 38313
List of positive integer factors of 38313 that divides 38295 without a remainder.
1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 38295 and 38313. The biggest common factor number is the GCF number.
So the greatest common factor 38295 and 38313 is 9.
Also check out the Least Common Multiple of 38295 and 38313
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Related Greatest Common Factors of 38313
- GCF of 38313 and 38317
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- GCF of 38313 and 38329
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