What is the Greatest Common Factor of 46736 and 46747?

Greatest common factor (GCF) of 46736 and 46747 is 1.

GCF(46736,46747) = 1

We will now calculate the prime factors of 46736 and 46747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46736 and 46747.

How to find the GCF of 46736 and 46747?

We will first find the prime factorization of 46736 and 46747. After we will calculate the factors of 46736 and 46747 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 46747

Prime factors of 46747 are 46747. Prime factorization of 46747 in exponential form is:

46747 = 46747¹

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 46747

List of positive integer factors of 46747 that divides 46736 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46736 and 46747. The biggest common factor number is the GCF number.
So the greatest common factor 46736 and 46747 is 1.

Also check out the Least Common Multiple of 46736 and 46747