What is the Greatest Common Factor of 8350 and 8354?
Greatest common factor (GCF) of 8350 and 8354 is 2.
GCF(8350,8354) = 2
We will now calculate the prime factors of 8350 and 8354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8350 and 8354.
How to find the GCF of 8350 and 8354?
We will first find the prime factorization of 8350 and 8354. After we will calculate the factors of 8350 and 8354 and find the biggest common factor number .
Step-1: Prime Factorization of 8350
Prime factors of 8350 are 2, 5, 167. Prime factorization of 8350 in exponential form is:
8350 = 21 × 52 × 1671
Step-2: Prime Factorization of 8354
Prime factors of 8354 are 2, 4177. Prime factorization of 8354 in exponential form is:
8354 = 21 × 41771
Step-3: Factors of 8350
List of positive integer factors of 8350 that divides 8350 without a remainder.
1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175
Step-4: Factors of 8354
List of positive integer factors of 8354 that divides 8350 without a remainder.
1, 2, 4177
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8350 and 8354. The biggest common factor number is the GCF number.
So the greatest common factor 8350 and 8354 is 2.
Also check out the Least Common Multiple of 8350 and 8354
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