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Find the Highest Common Factor of 32 and 14.
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Find the Highest Common Factor of 32 and 14.
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Mathematics
3 years
2021-07-15T23:54:23+00:00
2021-07-15T23:54:23+00:00 2 Answers
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Answer:
2
Step-by-step explanation:
Prime Factorization of 14
Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:
14 = 21 × 71
Step-2: Prime Factorization of 32
Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:
32 = 25
Step-3: Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1, 2, 7
Step-4: Factors of 32
List of positive integer factors of 32 that divides 14 without a remainder.
1, 2, 4, 8, 16
Final Step: Greatest Common Factor Number
We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.
So the greatest common factor 14 and 32
The highest common factor between 32 and 14 is 2