What is the Greatest Common Factor of 46824 and 46832?

Greatest common factor (GCF) of 46824 and 46832 is 8.

GCF(46824,46832) = 8

We will now calculate the prime factors of 46824 and 46832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46824 and 46832.

How to find the GCF of 46824 and 46832?

We will first find the prime factorization of 46824 and 46832. After we will calculate the factors of 46824 and 46832 and find the biggest common factor number .

Step-1: Prime Factorization of 46824

Prime factors of 46824 are 2, 3, 1951. Prime factorization of 46824 in exponential form is:

46824 = 2³ × 3¹ × 1951¹

Step-2: Prime Factorization of 46832

Prime factors of 46832 are 2, 2927. Prime factorization of 46832 in exponential form is:

46832 = 2⁴ × 2927¹

Step-3: Factors of 46824

List of positive integer factors of 46824 that divides 46824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1951, 3902, 5853, 7804, 11706, 15608, 23412

Step-4: Factors of 46832

List of positive integer factors of 46832 that divides 46824 without a remainder.

1, 2, 4, 8, 16, 2927, 5854, 11708, 23416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46824 and 46832. The biggest common factor number is the GCF number.
So the greatest common factor 46824 and 46832 is 8.

Also check out the Least Common Multiple of 46824 and 46832