What is the Greatest Common Factor of 408 and 412?
Greatest common factor (GCF) of 408 and 412 is 4.
GCF(408,412) = 4
We will now calculate the prime factors of 408 and 412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 408 and 412.
How to find the GCF of 408 and 412?
We will first find the prime factorization of 408 and 412. After we will calculate the factors of 408 and 412 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 412
Prime factors of 412 are 2, 103. Prime factorization of 412 in exponential form is:
412 = 22 × 1031
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 412
List of positive integer factors of 412 that divides 408 without a remainder.
1, 2, 4, 103, 206
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 408 and 412. The biggest common factor number is the GCF number.
So the greatest common factor 408 and 412 is 4.
Also check out the Least Common Multiple of 408 and 412
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