What is the Greatest Common Factor of 46752 and 46769?

Greatest common factor (GCF) of 46752 and 46769 is 1.

GCF(46752,46769) = 1

We will now calculate the prime factors of 46752 and 46769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46752 and 46769.

How to find the GCF of 46752 and 46769?

We will first find the prime factorization of 46752 and 46769. After we will calculate the factors of 46752 and 46769 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 46769

Prime factors of 46769 are 46769. Prime factorization of 46769 in exponential form is:

46769 = 46769¹

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 46769

List of positive integer factors of 46769 that divides 46752 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46752 and 46769. The biggest common factor number is the GCF number.
So the greatest common factor 46752 and 46769 is 1.

Also check out the Least Common Multiple of 46752 and 46769