What is the Greatest Common Factor of 55112 and 55118?
Greatest common factor (GCF) of 55112 and 55118 is 2.
GCF(55112,55118) = 2
We will now calculate the prime factors of 55112 and 55118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55112 and 55118.
How to find the GCF of 55112 and 55118?
We will first find the prime factorization of 55112 and 55118. After we will calculate the factors of 55112 and 55118 and find the biggest common factor number .
Step-1: Prime Factorization of 55112
Prime factors of 55112 are 2, 83. Prime factorization of 55112 in exponential form is:
55112 = 23 × 832
Step-2: Prime Factorization of 55118
Prime factors of 55118 are 2, 7, 31, 127. Prime factorization of 55118 in exponential form is:
55118 = 21 × 71 × 311 × 1271
Step-3: Factors of 55112
List of positive integer factors of 55112 that divides 55112 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664, 6889, 13778, 27556
Step-4: Factors of 55118
List of positive integer factors of 55118 that divides 55112 without a remainder.
1, 2, 7, 14, 31, 62, 127, 217, 254, 434, 889, 1778, 3937, 7874, 27559
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55112 and 55118. The biggest common factor number is the GCF number.
So the greatest common factor 55112 and 55118 is 2.
Also check out the Least Common Multiple of 55112 and 55118
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Related Greatest Common Factors of 55118
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