What is the Greatest Common Factor of 424 and 441?
Greatest common factor (GCF) of 424 and 441 is 1.
GCF(424,441) = 1
We will now calculate the prime factors of 424 and 441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 424 and 441.
How to find the GCF of 424 and 441?
We will first find the prime factorization of 424 and 441. After we will calculate the factors of 424 and 441 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 441
Prime factors of 441 are 3, 7. Prime factorization of 441 in exponential form is:
441 = 32 × 72
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 441
List of positive integer factors of 441 that divides 424 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 424 and 441. The biggest common factor number is the GCF number.
So the greatest common factor 424 and 441 is 1.
Also check out the Least Common Multiple of 424 and 441
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Related Greatest Common Factors of 441
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