What is the Greatest Common Factor of 8325 and 8340?
Greatest common factor (GCF) of 8325 and 8340 is 15.
GCF(8325,8340) = 15
We will now calculate the prime factors of 8325 and 8340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8325 and 8340.
How to find the GCF of 8325 and 8340?
We will first find the prime factorization of 8325 and 8340. After we will calculate the factors of 8325 and 8340 and find the biggest common factor number .
Step-1: Prime Factorization of 8325
Prime factors of 8325 are 3, 5, 37. Prime factorization of 8325 in exponential form is:
8325 = 32 × 52 × 371
Step-2: Prime Factorization of 8340
Prime factors of 8340 are 2, 3, 5, 139. Prime factorization of 8340 in exponential form is:
8340 = 22 × 31 × 51 × 1391
Step-3: Factors of 8325
List of positive integer factors of 8325 that divides 8325 without a remainder.
1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 185, 225, 333, 555, 925, 1665, 2775
Step-4: Factors of 8340
List of positive integer factors of 8340 that divides 8325 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8325 and 8340. The biggest common factor number is the GCF number.
So the greatest common factor 8325 and 8340 is 15.
Also check out the Least Common Multiple of 8325 and 8340
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Related Greatest Common Factors of 8340
- GCF of 8340 and 8344
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