What is the Greatest Common Factor of 392 and 412?
Greatest common factor (GCF) of 392 and 412 is 4.
GCF(392,412) = 4
We will now calculate the prime factors of 392 and 412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 392 and 412.
How to find the GCF of 392 and 412?
We will first find the prime factorization of 392 and 412. After we will calculate the factors of 392 and 412 and find the biggest common factor number .
Step-1: Prime Factorization of 392
Prime factors of 392 are 2, 7. Prime factorization of 392 in exponential form is:
392 = 23 × 72
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 392
List of positive integer factors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196
Step-4: Factors of 412
List of positive integer factors of 412 that divides 392 without a remainder.
1, 2, 4, 103, 206
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 392 and 412. The biggest common factor number is the GCF number.
So the greatest common factor 392 and 412 is 4.
Also check out the Least Common Multiple of 392 and 412
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