What is the Greatest Common Factor of 16272 and 16280?
Greatest common factor (GCF) of 16272 and 16280 is 8.
GCF(16272,16280) = 8
We will now calculate the prime factors of 16272 and 16280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16272 and 16280.
How to find the GCF of 16272 and 16280?
We will first find the prime factorization of 16272 and 16280. After we will calculate the factors of 16272 and 16280 and find the biggest common factor number .
Step-1: Prime Factorization of 16272
Prime factors of 16272 are 2, 3, 113. Prime factorization of 16272 in exponential form is:
16272 = 24 × 32 × 1131
Step-2: Prime Factorization of 16280
Prime factors of 16280 are 2, 5, 11, 37. Prime factorization of 16280 in exponential form is:
16280 = 23 × 51 × 111 × 371
Step-3: Factors of 16272
List of positive integer factors of 16272 that divides 16272 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 113, 144, 226, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 4068, 5424, 8136
Step-4: Factors of 16280
List of positive integer factors of 16280 that divides 16272 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 37, 40, 44, 55, 74, 88, 110, 148, 185, 220, 296, 370, 407, 440, 740, 814, 1480, 1628, 2035, 3256, 4070, 8140
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16272 and 16280. The biggest common factor number is the GCF number.
So the greatest common factor 16272 and 16280 is 8.
Also check out the Least Common Multiple of 16272 and 16280
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Related Greatest Common Factors of 16280
- GCF of 16280 and 16284
- GCF of 16280 and 16285
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- GCF of 16280 and 16287
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- GCF of 16280 and 16290
- GCF of 16280 and 16291
- GCF of 16280 and 16292
- GCF of 16280 and 16293
- GCF of 16280 and 16294
- GCF of 16280 and 16295
- GCF of 16280 and 16296
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