What is the Greatest Common Factor of 67815 and 67824?
Greatest common factor (GCF) of 67815 and 67824 is 9.
GCF(67815,67824) = 9
We will now calculate the prime factors of 67815 and 67824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67815 and 67824.
How to find the GCF of 67815 and 67824?
We will first find the prime factorization of 67815 and 67824. After we will calculate the factors of 67815 and 67824 and find the biggest common factor number .
Step-1: Prime Factorization of 67815
Prime factors of 67815 are 3, 5, 11, 137. Prime factorization of 67815 in exponential form is:
67815 = 32 × 51 × 111 × 1371
Step-2: Prime Factorization of 67824
Prime factors of 67824 are 2, 3, 157. Prime factorization of 67824 in exponential form is:
67824 = 24 × 33 × 1571
Step-3: Factors of 67815
List of positive integer factors of 67815 that divides 67815 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 137, 165, 411, 495, 685, 1233, 1507, 2055, 4521, 6165, 7535, 13563, 22605
Step-4: Factors of 67824
List of positive integer factors of 67824 that divides 67815 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 157, 216, 314, 432, 471, 628, 942, 1256, 1413, 1884, 2512, 2826, 3768, 4239, 5652, 7536, 8478, 11304, 16956, 22608, 33912
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 67815 and 67824. The biggest common factor number is the GCF number.
So the greatest common factor 67815 and 67824 is 9.
Also check out the Least Common Multiple of 67815 and 67824
Related Greatest Common Factors of 67815
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- GCF of 67815 and 67834
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Related Greatest Common Factors of 67824
- GCF of 67824 and 67828
- GCF of 67824 and 67829
- GCF of 67824 and 67830
- GCF of 67824 and 67831
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- GCF of 67824 and 67833
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