What is the Greatest Common Factor of 417 and 424?
Greatest common factor (GCF) of 417 and 424 is 1.
GCF(417,424) = 1
We will now calculate the prime factors of 417 and 424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 417 and 424.
How to find the GCF of 417 and 424?
We will first find the prime factorization of 417 and 424. After we will calculate the factors of 417 and 424 and find the biggest common factor number .
Step-1: Prime Factorization of 417
Prime factors of 417 are 3, 139. Prime factorization of 417 in exponential form is:
417 = 31 × 1391
Step-2: Prime Factorization of 424
Prime factors of 424 are 2, 53. Prime factorization of 424 in exponential form is:
424 = 23 × 531
Step-3: Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1, 3, 139
Step-4: Factors of 424
List of positive integer factors of 424 that divides 417 without a remainder.
1, 2, 4, 8, 53, 106, 212
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 417 and 424. The biggest common factor number is the GCF number.
So the greatest common factor 417 and 424 is 1.
Also check out the Least Common Multiple of 417 and 424
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