What is the Greatest Common Factor of 16466 and 16472?
Greatest common factor (GCF) of 16466 and 16472 is 2.
GCF(16466,16472) = 2
We will now calculate the prime factors of 16466 and 16472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16466 and 16472.
How to find the GCF of 16466 and 16472?
We will first find the prime factorization of 16466 and 16472. After we will calculate the factors of 16466 and 16472 and find the biggest common factor number .
Step-1: Prime Factorization of 16466
Prime factors of 16466 are 2, 8233. Prime factorization of 16466 in exponential form is:
16466 = 21 × 82331
Step-2: Prime Factorization of 16472
Prime factors of 16472 are 2, 29, 71. Prime factorization of 16472 in exponential form is:
16472 = 23 × 291 × 711
Step-3: Factors of 16466
List of positive integer factors of 16466 that divides 16466 without a remainder.
1, 2, 8233
Step-4: Factors of 16472
List of positive integer factors of 16472 that divides 16466 without a remainder.
1, 2, 4, 8, 29, 58, 71, 116, 142, 232, 284, 568, 2059, 4118, 8236
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 16466 and 16472. The biggest common factor number is the GCF number.
So the greatest common factor 16466 and 16472 is 2.
Also check out the Least Common Multiple of 16466 and 16472
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Related Greatest Common Factors of 16472
- GCF of 16472 and 16476
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- GCF of 16472 and 16486
- GCF of 16472 and 16487
- GCF of 16472 and 16488
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