What is the Greatest Common Factor of 9893 and 9912?
Greatest common factor (GCF) of 9893 and 9912 is 1.
GCF(9893,9912) = 1
We will now calculate the prime factors of 9893 and 9912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9893 and 9912.
How to find the GCF of 9893 and 9912?
We will first find the prime factorization of 9893 and 9912. After we will calculate the factors of 9893 and 9912 and find the biggest common factor number .
Step-1: Prime Factorization of 9893
Prime factors of 9893 are 13, 761. Prime factorization of 9893 in exponential form is:
9893 = 131 × 7611
Step-2: Prime Factorization of 9912
Prime factors of 9912 are 2, 3, 7, 59. Prime factorization of 9912 in exponential form is:
9912 = 23 × 31 × 71 × 591
Step-3: Factors of 9893
List of positive integer factors of 9893 that divides 9893 without a remainder.
1, 13, 761
Step-4: Factors of 9912
List of positive integer factors of 9912 that divides 9893 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 59, 84, 118, 168, 177, 236, 354, 413, 472, 708, 826, 1239, 1416, 1652, 2478, 3304, 4956
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 9893 and 9912. The biggest common factor number is the GCF number.
So the greatest common factor 9893 and 9912 is 1.
Also check out the Least Common Multiple of 9893 and 9912
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