What is the Greatest Common Factor of 46824 and 46842?

Greatest common factor (GCF) of 46824 and 46842 is 6.

GCF(46824,46842) = 6

We will now calculate the prime factors of 46824 and 46842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46824 and 46842.

How to find the GCF of 46824 and 46842?

We will first find the prime factorization of 46824 and 46842. After we will calculate the factors of 46824 and 46842 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 46842

Prime factors of 46842 are 2, 3, 37, 211. Prime factorization of 46842 in exponential form is:

46842 = 2¹ × 3¹ × 37¹ × 211¹

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 46842

List of positive integer factors of 46842 that divides 46824 without a remainder.

1, 2, 3, 6, 37, 74, 111, 211, 222, 422, 633, 1266, 7807, 15614, 23421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46824 and 46842. The biggest common factor number is the GCF number.
So the greatest common factor 46824 and 46842 is 6.

Also check out the Least Common Multiple of 46824 and 46842