What is the Greatest Common Factor of 8496 and 8505?
Greatest common factor (GCF) of 8496 and 8505 is 9.
GCF(8496,8505) = 9
We will now calculate the prime factors of 8496 and 8505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8496 and 8505.
How to find the GCF of 8496 and 8505?
We will first find the prime factorization of 8496 and 8505. After we will calculate the factors of 8496 and 8505 and find the biggest common factor number .
Step-1: Prime Factorization of 8496
Prime factors of 8496 are 2, 3, 59. Prime factorization of 8496 in exponential form is:
8496 = 24 × 32 × 591
Step-2: Prime Factorization of 8505
Prime factors of 8505 are 3, 5, 7. Prime factorization of 8505 in exponential form is:
8505 = 35 × 51 × 71
Step-3: Factors of 8496
List of positive integer factors of 8496 that divides 8496 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248
Step-4: Factors of 8505
List of positive integer factors of 8505 that divides 8496 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8496 and 8505. The biggest common factor number is the GCF number.
So the greatest common factor 8496 and 8505 is 9.
Also check out the Least Common Multiple of 8496 and 8505
Related Greatest Common Factors of 8496
- GCF of 8496 and 8500
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- GCF of 8496 and 8504
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Related Greatest Common Factors of 8505
- GCF of 8505 and 8509
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