What is the Greatest Common Factor of 8045 and 8052?
Greatest common factor (GCF) of 8045 and 8052 is 1.
GCF(8045,8052) = 1
We will now calculate the prime factors of 8045 and 8052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8045 and 8052.
How to find the GCF of 8045 and 8052?
We will first find the prime factorization of 8045 and 8052. After we will calculate the factors of 8045 and 8052 and find the biggest common factor number .
Step-1: Prime Factorization of 8045
Prime factors of 8045 are 5, 1609. Prime factorization of 8045 in exponential form is:
8045 = 51 × 16091
Step-2: Prime Factorization of 8052
Prime factors of 8052 are 2, 3, 11, 61. Prime factorization of 8052 in exponential form is:
8052 = 22 × 31 × 111 × 611
Step-3: Factors of 8045
List of positive integer factors of 8045 that divides 8045 without a remainder.
1, 5, 1609
Step-4: Factors of 8052
List of positive integer factors of 8052 that divides 8045 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8045 and 8052. The biggest common factor number is the GCF number.
So the greatest common factor 8045 and 8052 is 1.
Also check out the Least Common Multiple of 8045 and 8052
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