What is the Greatest Common Factor of 55138 and 55146?
Greatest common factor (GCF) of 55138 and 55146 is 2.
GCF(55138,55146) = 2
We will now calculate the prime factors of 55138 and 55146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55138 and 55146.
How to find the GCF of 55138 and 55146?
We will first find the prime factorization of 55138 and 55146. After we will calculate the factors of 55138 and 55146 and find the biggest common factor number .
Step-1: Prime Factorization of 55138
Prime factors of 55138 are 2, 19, 1451. Prime factorization of 55138 in exponential form is:
55138 = 21 × 191 × 14511
Step-2: Prime Factorization of 55146
Prime factors of 55146 are 2, 3, 7, 13, 101. Prime factorization of 55146 in exponential form is:
55146 = 21 × 31 × 71 × 131 × 1011
Step-3: Factors of 55138
List of positive integer factors of 55138 that divides 55138 without a remainder.
1, 2, 19, 38, 1451, 2902, 27569
Step-4: Factors of 55146
List of positive integer factors of 55146 that divides 55138 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 101, 182, 202, 273, 303, 546, 606, 707, 1313, 1414, 2121, 2626, 3939, 4242, 7878, 9191, 18382, 27573
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 55138 and 55146. The biggest common factor number is the GCF number.
So the greatest common factor 55138 and 55146 is 2.
Also check out the Least Common Multiple of 55138 and 55146
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