What is the Greatest Common Factor of 46746 and 46752?

Greatest common factor (GCF) of 46746 and 46752 is 6.

GCF(46746,46752) = 6

We will now calculate the prime factors of 46746 and 46752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46746 and 46752.

How to find the GCF of 46746 and 46752?

We will first find the prime factorization of 46746 and 46752. After we will calculate the factors of 46746 and 46752 and find the biggest common factor number .

Step-1: Prime Factorization of 46746

Prime factors of 46746 are 2, 3, 7, 53. Prime factorization of 46746 in exponential form is:

46746 = 2¹ × 3² × 7² × 53¹

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 46746

List of positive integer factors of 46746 that divides 46746 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 98, 106, 126, 147, 159, 294, 318, 371, 441, 477, 742, 882, 954, 1113, 2226, 2597, 3339, 5194, 6678, 7791, 15582, 23373

Step-4: Factors of 46752

List of positive integer factors of 46752 that divides 46746 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 46746 and 46752. The biggest common factor number is the GCF number.
So the greatest common factor 46746 and 46752 is 6.

Also check out the Least Common Multiple of 46746 and 46752