What is the Greatest Common Factor of 374 and 380?
Greatest common factor (GCF) of 374 and 380 is 2.
GCF(374,380) = 2
We will now calculate the prime factors of 374 and 380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 374 and 380.
How to find the GCF of 374 and 380?
We will first find the prime factorization of 374 and 380. After we will calculate the factors of 374 and 380 and find the biggest common factor number .
Step-1: 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-2: Prime Factorization of 380
Prime factors of 380 are 2, 5, 19. Prime factorization of 380 in exponential form is:
380 = 22 × 51 × 191
Step-3: Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187
Step-4: Factors of 380
List of positive integer factors of 380 that divides 374 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 374 and 380. The biggest common factor number is the GCF number.
So the greatest common factor 374 and 380 is 2.
Also check out the Least Common Multiple of 374 and 380
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