What is the Greatest Common Factor of 8155 and 8169?
Greatest common factor (GCF) of 8155 and 8169 is 7.
GCF(8155,8169) = 7
We will now calculate the prime factors of 8155 and 8169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8155 and 8169.
How to find the GCF of 8155 and 8169?
We will first find the prime factorization of 8155 and 8169. After we will calculate the factors of 8155 and 8169 and find the biggest common factor number .
Step-1: Prime Factorization of 8155
Prime factors of 8155 are 5, 7, 233. Prime factorization of 8155 in exponential form is:
8155 = 51 × 71 × 2331
Step-2: Prime Factorization of 8169
Prime factors of 8169 are 3, 7, 389. Prime factorization of 8169 in exponential form is:
8169 = 31 × 71 × 3891
Step-3: Factors of 8155
List of positive integer factors of 8155 that divides 8155 without a remainder.
1, 5, 7, 35, 233, 1165, 1631
Step-4: Factors of 8169
List of positive integer factors of 8169 that divides 8155 without a remainder.
1, 3, 7, 21, 389, 1167, 2723
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 8155 and 8169. The biggest common factor number is the GCF number.
So the greatest common factor 8155 and 8169 is 7.
Also check out the Least Common Multiple of 8155 and 8169
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