What is the Greatest Common Factor of 46424 and 46438?

Greatest common factor (GCF) of 46424 and 46438 is 14.

GCF(46424,46438) = 14

We will now calculate the prime factors of 46424 and 46438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46424 and 46438.

How to find the GCF of 46424 and 46438?

We will first find the prime factorization of 46424 and 46438. After we will calculate the factors of 46424 and 46438 and find the biggest common factor number .

Step-1: Prime Factorization of 46424

Prime factors of 46424 are 2, 7, 829. Prime factorization of 46424 in exponential form is:

46424 = 2³ × 7¹ × 829¹

Step-2: Prime Factorization of 46438

Prime factors of 46438 are 2, 7, 31, 107. Prime factorization of 46438 in exponential form is:

46438 = 2¹ × 7¹ × 31¹ × 107¹

Step-3: Factors of 46424

List of positive integer factors of 46424 that divides 46424 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 829, 1658, 3316, 5803, 6632, 11606, 23212

Step-4: Factors of 46438

List of positive integer factors of 46438 that divides 46424 without a remainder.

1, 2, 7, 14, 31, 62, 107, 214, 217, 434, 749, 1498, 3317, 6634, 23219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46424 and 46438. The biggest common factor number is the GCF number.
So the greatest common factor 46424 and 46438 is 14.

Also check out the Least Common Multiple of 46424 and 46438