What is the Greatest Common Factor of 34005 and 34025?
Greatest common factor (GCF) of 34005 and 34025 is 5.
GCF(34005,34025) = 5
We will now calculate the prime factors of 34005 and 34025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34005 and 34025.
How to find the GCF of 34005 and 34025?
We will first find the prime factorization of 34005 and 34025. After we will calculate the factors of 34005 and 34025 and find the biggest common factor number .
Step-1: Prime Factorization of 34005
Prime factors of 34005 are 3, 5, 2267. Prime factorization of 34005 in exponential form is:
34005 = 31 × 51 × 22671
Step-2: Prime Factorization of 34025
Prime factors of 34025 are 5, 1361. Prime factorization of 34025 in exponential form is:
34025 = 52 × 13611
Step-3: Factors of 34005
List of positive integer factors of 34005 that divides 34005 without a remainder.
1, 3, 5, 15, 2267, 6801, 11335
Step-4: Factors of 34025
List of positive integer factors of 34025 that divides 34005 without a remainder.
1, 5, 25, 1361, 6805
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 34005 and 34025. The biggest common factor number is the GCF number.
So the greatest common factor 34005 and 34025 is 5.
Also check out the Least Common Multiple of 34005 and 34025
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- GCF of 34025 and 34029
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