What is the Greatest Common Factor of 46479 and 46497?

Greatest common factor (GCF) of 46479 and 46497 is 3.

GCF(46479,46497) = 3

We will now calculate the prime factors of 46479 and 46497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46479 and 46497.

How to find the GCF of 46479 and 46497?

We will first find the prime factorization of 46479 and 46497. After we will calculate the factors of 46479 and 46497 and find the biggest common factor number .

Step-1: Prime Factorization of 46479

Prime factors of 46479 are 3, 15493. Prime factorization of 46479 in exponential form is:

46479 = 3¹ × 15493¹

Step-2: Prime Factorization of 46497

Prime factors of 46497 are 3, 11, 1409. Prime factorization of 46497 in exponential form is:

46497 = 3¹ × 11¹ × 1409¹

Step-3: Factors of 46479

List of positive integer factors of 46479 that divides 46479 without a remainder.

1, 3, 15493

Step-4: Factors of 46497

List of positive integer factors of 46497 that divides 46479 without a remainder.

1, 3, 11, 33, 1409, 4227, 15499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46479 and 46497. The biggest common factor number is the GCF number.
So the greatest common factor 46479 and 46497 is 3.

Also check out the Least Common Multiple of 46479 and 46497