What is the Greatest Common Factor of 350 and 365?
Greatest common factor (GCF) of 350 and 365 is 5.
GCF(350,365) = 5
We will now calculate the prime factors of 350 and 365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 350 and 365.
How to find the GCF of 350 and 365?
We will first find the prime factorization of 350 and 365. After we will calculate the factors of 350 and 365 and find the biggest common factor number .
Step-1: Prime Factorization of 350
Prime factors of 350 are 2, 5, 7. Prime factorization of 350 in exponential form is:
350 = 21 × 52 × 71
Step-2: Prime Factorization of 365
Prime factors of 365 are 5, 73. Prime factorization of 365 in exponential form is:
365 = 51 × 731
Step-3: Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175
Step-4: Factors of 365
List of positive integer factors of 365 that divides 350 without a remainder.
1, 5, 73
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 350 and 365. The biggest common factor number is the GCF number.
So the greatest common factor 350 and 365 is 5.
Also check out the Least Common Multiple of 350 and 365
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