What is the Greatest Common Factor of 368 and 374?
Greatest common factor (GCF) of 368 and 374 is 2.
GCF(368,374) = 2
We will now calculate the prime factors of 368 and 374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 368 and 374.
How to find the GCF of 368 and 374?
We will first find the prime factorization of 368 and 374. After we will calculate the factors of 368 and 374 and find the biggest common factor number .
Step-1: Prime Factorization of 368
Prime factors of 368 are 2, 23. Prime factorization of 368 in exponential form is:
368 = 24 × 231
Step-2: Prime Factorization of 374
Prime factors of 374 are 2, 11, 17. Prime factorization of 374 in exponential form is:
374 = 21 × 111 × 171
Step-3: Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184
Step-4: Factors of 374
List of positive integer factors of 374 that divides 368 without a remainder.
1, 2, 11, 17, 22, 34, 187
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 368 and 374. The biggest common factor number is the GCF number.
So the greatest common factor 368 and 374 is 2.
Also check out the Least Common Multiple of 368 and 374
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