What is the Greatest Common Factor of 408 and 419?
Greatest common factor (GCF) of 408 and 419 is 1.
GCF(408,419) = 1
We will now calculate the prime factors of 408 and 419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 408 and 419.
How to find the GCF of 408 and 419?
We will first find the prime factorization of 408 and 419. After we will calculate the factors of 408 and 419 and find the biggest common factor number .
Step-1: Prime Factorization of 408
Prime factors of 408 are 2, 3, 17. Prime factorization of 408 in exponential form is:
408 = 23 × 31 × 171
Step-2: Prime Factorization of 419
Prime factors of 419 are 419. Prime factorization of 419 in exponential form is:
419 = 4191
Step-3: Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204
Step-4: Factors of 419
List of positive integer factors of 419 that divides 408 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 408 and 419. The biggest common factor number is the GCF number.
So the greatest common factor 408 and 419 is 1.
Also check out the Least Common Multiple of 408 and 419
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