What is the Greatest Common Factor of 55104 and 55113?
Greatest common factor (GCF) of 55104 and 55113 is 3.
GCF(55104,55113) = 3
We will now calculate the prime factors of 55104 and 55113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55104 and 55113.
How to find the GCF of 55104 and 55113?
We will first find the prime factorization of 55104 and 55113. After we will calculate the factors of 55104 and 55113 and find the biggest common factor number .
Step-1: Prime Factorization of 55104
Prime factors of 55104 are 2, 3, 7, 41. Prime factorization of 55104 in exponential form is:
55104 = 26 × 31 × 71 × 411
Step-2: Prime Factorization of 55113
Prime factors of 55113 are 3, 18371. Prime factorization of 55113 in exponential form is:
55113 = 31 × 183711
Step-3: Factors of 55104
List of positive integer factors of 55104 that divides 55104 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 64, 82, 84, 96, 112, 123, 164, 168, 192, 224, 246, 287, 328, 336, 448, 492, 574, 656, 672, 861, 984, 1148, 1312, 1344, 1722, 1968, 2296, 2624, 3444, 3936, 4592, 6888, 7872, 9184, 13776, 18368, 27552
Step-4: Factors of 55113
List of positive integer factors of 55113 that divides 55104 without a remainder.
1, 3, 18371
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55104 and 55113. The biggest common factor number is the GCF number.
So the greatest common factor 55104 and 55113 is 3.
Also check out the Least Common Multiple of 55104 and 55113
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