What is the Greatest Common Factor of 46431 and 46444?

Greatest common factor (GCF) of 46431 and 46444 is 1.

GCF(46431,46444) = 1

We will now calculate the prime factors of 46431 and 46444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46431 and 46444.

How to find the GCF of 46431 and 46444?

We will first find the prime factorization of 46431 and 46444. After we will calculate the factors of 46431 and 46444 and find the biggest common factor number .

Step-1: Prime Factorization of 46431

Prime factors of 46431 are 3, 7, 11, 67. Prime factorization of 46431 in exponential form is:

46431 = 3² × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 46444

Prime factors of 46444 are 2, 17, 683. Prime factorization of 46444 in exponential form is:

46444 = 2² × 17¹ × 683¹

Step-3: Factors of 46431

List of positive integer factors of 46431 that divides 46431 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 67, 77, 99, 201, 231, 469, 603, 693, 737, 1407, 2211, 4221, 5159, 6633, 15477

Step-4: Factors of 46444

List of positive integer factors of 46444 that divides 46431 without a remainder.

1, 2, 4, 17, 34, 68, 683, 1366, 2732, 11611, 23222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46431 and 46444. The biggest common factor number is the GCF number.
So the greatest common factor 46431 and 46444 is 1.

Also check out the Least Common Multiple of 46431 and 46444