What is the Greatest Common Factor of 424 and 434?
Greatest common factor (GCF) of 424 and 434 is 2.
GCF(424,434) = 2
We will now calculate the prime factors of 424 and 434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 424 and 434.
How to find the GCF of 424 and 434?
We will first find the prime factorization of 424 and 434. After we will calculate the factors of 424 and 434 and find the biggest common factor number .
Step-1: Prime Factorization of 424
Prime factors of 424 are 2, 53. Prime factorization of 424 in exponential form is:
424 = 23 × 531
Step-2: Prime Factorization of 434
Prime factors of 434 are 2, 7, 31. Prime factorization of 434 in exponential form is:
434 = 21 × 71 × 311
Step-3: Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212
Step-4: Factors of 434
List of positive integer factors of 434 that divides 424 without a remainder.
1, 2, 7, 14, 31, 62, 217
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 424 and 434. The biggest common factor number is the GCF number.
So the greatest common factor 424 and 434 is 2.
Also check out the Least Common Multiple of 424 and 434
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