What is the Greatest Common Factor of 404 and 414?
Greatest common factor (GCF) of 404 and 414 is 2.
GCF(404,414) = 2
We will now calculate the prime factors of 404 and 414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 404 and 414.
How to find the GCF of 404 and 414?
We will first find the prime factorization of 404 and 414. After we will calculate the factors of 404 and 414 and find the biggest common factor number .
Step-1: Prime Factorization of 404
Prime factors of 404 are 2, 101. Prime factorization of 404 in exponential form is:
404 = 22 × 1011
Step-2: Prime Factorization of 414
Prime factors of 414 are 2, 3, 23. Prime factorization of 414 in exponential form is:
414 = 21 × 32 × 231
Step-3: Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202
Step-4: Factors of 414
List of positive integer factors of 414 that divides 404 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 404 and 414. The biggest common factor number is the GCF number.
So the greatest common factor 404 and 414 is 2.
Also check out the Least Common Multiple of 404 and 414
Related Greatest Common Factors of 404
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Related Greatest Common Factors of 414
- GCF of 414 and 418
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