What is the Greatest Common Factor of 46782 and 46796?
Greatest common factor (GCF) of 46782 and 46796 is 2.
GCF(46782,46796) = 2
We will now calculate the prime factors of 46782 and 46796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46782 and 46796.
How to find the GCF of 46782 and 46796?
We will first find the prime factorization of 46782 and 46796. After we will calculate the factors of 46782 and 46796 and find the biggest common factor number .
Step-1: Prime Factorization of 46782
Prime factors of 46782 are 2, 3, 23, 113. Prime factorization of 46782 in exponential form is:
46782 = 21 × 32 × 231 × 1131
Step-2: Prime Factorization of 46796
Prime factors of 46796 are 2, 11699. Prime factorization of 46796 in exponential form is:
46796 = 22 × 116991
Step-3: Factors of 46782
List of positive integer factors of 46782 that divides 46782 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 113, 138, 207, 226, 339, 414, 678, 1017, 2034, 2599, 5198, 7797, 15594, 23391
Step-4: Factors of 46796
List of positive integer factors of 46796 that divides 46782 without a remainder.
1, 2, 4, 11699, 23398
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46782 and 46796. The biggest common factor number is the GCF number.
So the greatest common factor 46782 and 46796 is 2.
Also check out the Least Common Multiple of 46782 and 46796
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