What is the Greatest Common Factor of 46736 and 46756?
Greatest common factor (GCF) of 46736 and 46756 is 4.
GCF(46736,46756) = 4
We will now calculate the prime factors of 46736 and 46756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46736 and 46756.
How to find the GCF of 46736 and 46756?
We will first find the prime factorization of 46736 and 46756. After we will calculate the factors of 46736 and 46756 and find the biggest common factor number .
Step-1: Prime Factorization of 46736
Prime factors of 46736 are 2, 23, 127. Prime factorization of 46736 in exponential form is:
46736 = 24 × 231 × 1271
Step-2: Prime Factorization of 46756
Prime factors of 46756 are 2, 11689. Prime factorization of 46756 in exponential form is:
46756 = 22 × 116891
Step-3: Factors of 46736
List of positive integer factors of 46736 that divides 46736 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 127, 184, 254, 368, 508, 1016, 2032, 2921, 5842, 11684, 23368
Step-4: Factors of 46756
List of positive integer factors of 46756 that divides 46736 without a remainder.
1, 2, 4, 11689, 23378
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 46736 and 46756. The biggest common factor number is the GCF number.
So the greatest common factor 46736 and 46756 is 4.
Also check out the Least Common Multiple of 46736 and 46756
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