What is the Greatest Common Factor of 9103 and 9108?
Greatest common factor (GCF) of 9103 and 9108 is 1.
GCF(9103,9108) = 1
We will now calculate the prime factors of 9103 and 9108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9103 and 9108.
How to find the GCF of 9103 and 9108?
We will first find the prime factorization of 9103 and 9108. After we will calculate the factors of 9103 and 9108 and find the biggest common factor number .
Step-1: Prime Factorization of 9103
Prime factors of 9103 are 9103. Prime factorization of 9103 in exponential form is:
9103 = 91031
Step-2: Prime Factorization of 9108
Prime factors of 9108 are 2, 3, 11, 23. Prime factorization of 9108 in exponential form is:
9108 = 22 × 32 × 111 × 231
Step-3: Factors of 9103
List of positive integer factors of 9103 that divides 9103 without a remainder.
1
Step-4: Factors of 9108
List of positive integer factors of 9108 that divides 9103 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9103 and 9108. The biggest common factor number is the GCF number.
So the greatest common factor 9103 and 9108 is 1.
Also check out the Least Common Multiple of 9103 and 9108
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