What is the Greatest Common Factor of 46389 and 46407?

Greatest common factor (GCF) of 46389 and 46407 is 3.

GCF(46389,46407) = 3

We will now calculate the prime factors of 46389 and 46407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46389 and 46407.

How to find the GCF of 46389 and 46407?

We will first find the prime factorization of 46389 and 46407. After we will calculate the factors of 46389 and 46407 and find the biggest common factor number .

Step-1: Prime Factorization of 46389

Prime factors of 46389 are 3, 7, 47. Prime factorization of 46389 in exponential form is:

46389 = 3¹ × 7¹ × 47²

Step-2: Prime Factorization of 46407

Prime factors of 46407 are 3, 31, 499. Prime factorization of 46407 in exponential form is:

46407 = 3¹ × 31¹ × 499¹

Step-3: Factors of 46389

List of positive integer factors of 46389 that divides 46389 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987, 2209, 6627, 15463

Step-4: Factors of 46407

List of positive integer factors of 46407 that divides 46389 without a remainder.

1, 3, 31, 93, 499, 1497, 15469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46389 and 46407. The biggest common factor number is the GCF number.
So the greatest common factor 46389 and 46407 is 3.

Also check out the Least Common Multiple of 46389 and 46407