What is the Greatest Common Factor of 356 and 374?
Greatest common factor (GCF) of 356 and 374 is 2.
GCF(356,374) = 2
We will now calculate the prime factors of 356 and 374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 356 and 374.
How to find the GCF of 356 and 374?
We will first find the prime factorization of 356 and 374. After we will calculate the factors of 356 and 374 and find the biggest common factor number .
Step-1: Prime Factorization of 356
Prime factors of 356 are 2, 89. Prime factorization of 356 in exponential form is:
356 = 22 × 891
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 356
List of positive integer factors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178
Step-4: Factors of 374
List of positive integer factors of 374 that divides 356 without a remainder.
1, 2, 11, 17, 22, 34, 187
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 356 and 374. The biggest common factor number is the GCF number.
So the greatest common factor 356 and 374 is 2.
Also check out the Least Common Multiple of 356 and 374
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