What is the Greatest Common Factor of 5187 and 5198?
Greatest common factor (GCF) of 5187 and 5198 is 1.
GCF(5187,5198) = 1
We will now calculate the prime factors of 5187 and 5198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5187 and 5198.
How to find the GCF of 5187 and 5198?
We will first find the prime factorization of 5187 and 5198. After we will calculate the factors of 5187 and 5198 and find the biggest common factor number .
Step-1: Prime Factorization of 5187
Prime factors of 5187 are 3, 7, 13, 19. Prime factorization of 5187 in exponential form is:
5187 = 31 × 71 × 131 × 191
Step-2: Prime Factorization of 5198
Prime factors of 5198 are 2, 23, 113. Prime factorization of 5198 in exponential form is:
5198 = 21 × 231 × 1131
Step-3: Factors of 5187
List of positive integer factors of 5187 that divides 5187 without a remainder.
1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729
Step-4: Factors of 5198
List of positive integer factors of 5198 that divides 5187 without a remainder.
1, 2, 23, 46, 113, 226, 2599
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 5187 and 5198. The biggest common factor number is the GCF number.
So the greatest common factor 5187 and 5198 is 1.
Also check out the Least Common Multiple of 5187 and 5198
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