What is the Greatest Common Factor of 361 and 368?
Greatest common factor (GCF) of 361 and 368 is 1.
GCF(361,368) = 1
We will now calculate the prime factors of 361 and 368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 361 and 368.
How to find the GCF of 361 and 368?
We will first find the prime factorization of 361 and 368. After we will calculate the factors of 361 and 368 and find the biggest common factor number .
Step-1: Prime Factorization of 361
Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:
361 = 192
Step-2: Prime Factorization of 368
Prime factors of 368 are 2, 23. Prime factorization of 368 in exponential form is:
368 = 24 × 231
Step-3: Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1, 19
Step-4: Factors of 368
List of positive integer factors of 368 that divides 361 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 361 and 368. The biggest common factor number is the GCF number.
So the greatest common factor 361 and 368 is 1.
Also check out the Least Common Multiple of 361 and 368
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