What is the Greatest Common Factor of 665 and 674?
Greatest common factor (GCF) of 665 and 674 is 1.
GCF(665,674) = 1
We will now calculate the prime factors of 665 and 674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 665 and 674.
How to find the GCF of 665 and 674?
We will first find the prime factorization of 665 and 674. After we will calculate the factors of 665 and 674 and find the biggest common factor number .
Step-1: Prime Factorization of 665
Prime factors of 665 are 5, 7, 19. Prime factorization of 665 in exponential form is:
665 = 51 × 71 × 191
Step-2: Prime Factorization of 674
Prime factors of 674 are 2, 337. Prime factorization of 674 in exponential form is:
674 = 21 × 3371
Step-3: Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133
Step-4: Factors of 674
List of positive integer factors of 674 that divides 665 without a remainder.
1, 2, 337
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 665 and 674. The biggest common factor number is the GCF number.
So the greatest common factor 665 and 674 is 1.
Also check out the Least Common Multiple of 665 and 674
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