What is the Greatest Common Factor of 8037 and 8055?
Greatest common factor (GCF) of 8037 and 8055 is 9.
GCF(8037,8055) = 9
We will now calculate the prime factors of 8037 and 8055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8037 and 8055.
How to find the GCF of 8037 and 8055?
We will first find the prime factorization of 8037 and 8055. After we will calculate the factors of 8037 and 8055 and find the biggest common factor number .
Step-1: Prime Factorization of 8037
Prime factors of 8037 are 3, 19, 47. Prime factorization of 8037 in exponential form is:
8037 = 32 × 191 × 471
Step-2: Prime Factorization of 8055
Prime factors of 8055 are 3, 5, 179. Prime factorization of 8055 in exponential form is:
8055 = 32 × 51 × 1791
Step-3: Factors of 8037
List of positive integer factors of 8037 that divides 8037 without a remainder.
1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679
Step-4: Factors of 8055
List of positive integer factors of 8055 that divides 8037 without a remainder.
1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8037 and 8055. The biggest common factor number is the GCF number.
So the greatest common factor 8037 and 8055 is 9.
Also check out the Least Common Multiple of 8037 and 8055
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