What is the Greatest Common Factor of 46438 and 46457?

Greatest common factor (GCF) of 46438 and 46457 is 1.

GCF(46438,46457) = 1

We will now calculate the prime factors of 46438 and 46457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46438 and 46457.

How to find the GCF of 46438 and 46457?

We will first find the prime factorization of 46438 and 46457. After we will calculate the factors of 46438 and 46457 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 46457

Prime factors of 46457 are 46457. Prime factorization of 46457 in exponential form is:

46457 = 46457¹

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 46457

List of positive integer factors of 46457 that divides 46438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46438 and 46457. The biggest common factor number is the GCF number.
So the greatest common factor 46438 and 46457 is 1.

Also check out the Least Common Multiple of 46438 and 46457