What is the Greatest Common Factor of 46752 and 46768?

Greatest common factor (GCF) of 46752 and 46768 is 16.

GCF(46752,46768) = 16

We will now calculate the prime factors of 46752 and 46768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46752 and 46768.

How to find the GCF of 46752 and 46768?

We will first find the prime factorization of 46752 and 46768. After we will calculate the factors of 46752 and 46768 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46768

Prime factors of 46768 are 2, 37, 79. Prime factorization of 46768 in exponential form is:

46768 = 2⁴ × 37¹ × 79¹

Step-3: Factors of 46752

List of positive integer factors of 46752 that divides 46752 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

Step-4: Factors of 46768

List of positive integer factors of 46768 that divides 46752 without a remainder.

1, 2, 4, 8, 16, 37, 74, 79, 148, 158, 296, 316, 592, 632, 1264, 2923, 5846, 11692, 23384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46752 and 46768. The biggest common factor number is the GCF number.
So the greatest common factor 46752 and 46768 is 16.

Also check out the Least Common Multiple of 46752 and 46768