What is the Greatest Common Factor of 320 and 340?
Greatest common factor (GCF) of 320 and 340 is 20.
GCF(320,340) = 20
We will now calculate the prime factors of 320 and 340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 320 and 340.
How to find the GCF of 320 and 340?
We will first find the prime factorization of 320 and 340. After we will calculate the factors of 320 and 340 and find the biggest common factor number .
Step-1: Prime Factorization of 320
Prime factors of 320 are 2, 5. Prime factorization of 320 in exponential form is:
320 = 26 × 51
Step-2: Prime Factorization of 340
Prime factors of 340 are 2, 5, 17. Prime factorization of 340 in exponential form is:
340 = 22 × 51 × 171
Step-3: Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160
Step-4: Factors of 340
List of positive integer factors of 340 that divides 320 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 320 and 340. The biggest common factor number is the GCF number.
So the greatest common factor 320 and 340 is 20.
Also check out the Least Common Multiple of 320 and 340
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