What is the Greatest Common Factor of 46438 and 46442?

Greatest common factor (GCF) of 46438 and 46442 is 2.

GCF(46438,46442) = 2

We will now calculate the prime factors of 46438 and 46442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46438 and 46442.

How to find the GCF of 46438 and 46442?

We will first find the prime factorization of 46438 and 46442. After we will calculate the factors of 46438 and 46442 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46442

Prime factors of 46442 are 2, 11, 2111. Prime factorization of 46442 in exponential form is:

46442 = 2¹ × 11¹ × 2111¹

Step-3: Factors of 46438

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

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

Step-4: Factors of 46442

List of positive integer factors of 46442 that divides 46438 without a remainder.

1, 2, 11, 22, 2111, 4222, 23221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46438 and 46442. The biggest common factor number is the GCF number.
So the greatest common factor 46438 and 46442 is 2.

Also check out the Least Common Multiple of 46438 and 46442