What is the Greatest Common Factor of 46736 and 46752?

Greatest common factor (GCF) of 46736 and 46752 is 16.

GCF(46736,46752) = 16

We will now calculate the prime factors of 46736 and 46752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46736 and 46752.

How to find the GCF of 46736 and 46752?

We will first find the prime factorization of 46736 and 46752. After we will calculate the factors of 46736 and 46752 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 46752

Prime factors of 46752 are 2, 3, 487. Prime factorization of 46752 in exponential form is:

46752 = 2⁵ × 3¹ × 487¹

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 46752

List of positive integer factors of 46752 that divides 46736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 487, 974, 1461, 1948, 2922, 3896, 5844, 7792, 11688, 15584, 23376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46736 and 46752. The biggest common factor number is the GCF number.
So the greatest common factor 46736 and 46752 is 16.

Also check out the Least Common Multiple of 46736 and 46752