What is the Greatest Common Factor of 10045 and 10064?
Greatest common factor (GCF) of 10045 and 10064 is 1.
GCF(10045,10064) = 1
We will now calculate the prime factors of 10045 and 10064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10045 and 10064.
How to find the GCF of 10045 and 10064?
We will first find the prime factorization of 10045 and 10064. After we will calculate the factors of 10045 and 10064 and find the biggest common factor number .
Step-1: Prime Factorization of 10045
Prime factors of 10045 are 5, 7, 41. Prime factorization of 10045 in exponential form is:
10045 = 51 × 72 × 411
Step-2: Prime Factorization of 10064
Prime factors of 10064 are 2, 17, 37. Prime factorization of 10064 in exponential form is:
10064 = 24 × 171 × 371
Step-3: Factors of 10045
List of positive integer factors of 10045 that divides 10045 without a remainder.
1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009
Step-4: Factors of 10064
List of positive integer factors of 10064 that divides 10045 without a remainder.
1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 10045 and 10064. The biggest common factor number is the GCF number.
So the greatest common factor 10045 and 10064 is 1.
Also check out the Least Common Multiple of 10045 and 10064
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