What is the Greatest Common Factor of 64585 and 64590?
Greatest common factor (GCF) of 64585 and 64590 is 5.
GCF(64585,64590) = 5
We will now calculate the prime factors of 64585 and 64590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64585 and 64590.
How to find the GCF of 64585 and 64590?
We will first find the prime factorization of 64585 and 64590. After we will calculate the factors of 64585 and 64590 and find the biggest common factor number .
Step-1: Prime Factorization of 64585
Prime factors of 64585 are 5, 12917. Prime factorization of 64585 in exponential form is:
64585 = 51 × 129171
Step-2: Prime Factorization of 64590
Prime factors of 64590 are 2, 3, 5, 2153. Prime factorization of 64590 in exponential form is:
64590 = 21 × 31 × 51 × 21531
Step-3: Factors of 64585
List of positive integer factors of 64585 that divides 64585 without a remainder.
1, 5, 12917
Step-4: Factors of 64590
List of positive integer factors of 64590 that divides 64585 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 2153, 4306, 6459, 10765, 12918, 21530, 32295
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 64585 and 64590. The biggest common factor number is the GCF number.
So the greatest common factor 64585 and 64590 is 5.
Also check out the Least Common Multiple of 64585 and 64590
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