What is the Greatest Common Factor of 8332 and 8350?
Greatest common factor (GCF) of 8332 and 8350 is 2.
GCF(8332,8350) = 2
We will now calculate the prime factors of 8332 and 8350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8332 and 8350.
How to find the GCF of 8332 and 8350?
We will first find the prime factorization of 8332 and 8350. After we will calculate the factors of 8332 and 8350 and find the biggest common factor number .
Step-1: Prime Factorization of 8332
Prime factors of 8332 are 2, 2083. Prime factorization of 8332 in exponential form is:
8332 = 22 × 20831
Step-2: 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-3: Factors of 8332
List of positive integer factors of 8332 that divides 8332 without a remainder.
1, 2, 4, 2083, 4166
Step-4: Factors of 8350
List of positive integer factors of 8350 that divides 8332 without a remainder.
1, 2, 5, 10, 25, 50, 167, 334, 835, 1670, 4175
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8332 and 8350. The biggest common factor number is the GCF number.
So the greatest common factor 8332 and 8350 is 2.
Also check out the Least Common Multiple of 8332 and 8350
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