What is the Greatest Common Factor of 49136 and 49146?
Greatest common factor (GCF) of 49136 and 49146 is 2.
GCF(49136,49146) = 2
We will now calculate the prime factors of 49136 and 49146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49136 and 49146.
How to find the GCF of 49136 and 49146?
We will first find the prime factorization of 49136 and 49146. After we will calculate the factors of 49136 and 49146 and find the biggest common factor number .
Step-1: Prime Factorization of 49136
Prime factors of 49136 are 2, 37, 83. Prime factorization of 49136 in exponential form is:
49136 = 24 × 371 × 831
Step-2: Prime Factorization of 49146
Prime factors of 49146 are 2, 3, 8191. Prime factorization of 49146 in exponential form is:
49146 = 21 × 31 × 81911
Step-3: Factors of 49136
List of positive integer factors of 49136 that divides 49136 without a remainder.
1, 2, 4, 8, 16, 37, 74, 83, 148, 166, 296, 332, 592, 664, 1328, 3071, 6142, 12284, 24568
Step-4: Factors of 49146
List of positive integer factors of 49146 that divides 49136 without a remainder.
1, 2, 3, 6, 8191, 16382, 24573
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 49136 and 49146. The biggest common factor number is the GCF number.
So the greatest common factor 49136 and 49146 is 2.
Also check out the Least Common Multiple of 49136 and 49146
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