What is the Greatest Common Factor of 46479 and 46485?

Greatest common factor (GCF) of 46479 and 46485 is 3.

GCF(46479,46485) = 3

We will now calculate the prime factors of 46479 and 46485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46479 and 46485.

How to find the GCF of 46479 and 46485?

We will first find the prime factorization of 46479 and 46485. After we will calculate the factors of 46479 and 46485 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 46485

Prime factors of 46485 are 3, 5, 1033. Prime factorization of 46485 in exponential form is:

46485 = 3² × 5¹ × 1033¹

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 46485

List of positive integer factors of 46485 that divides 46479 without a remainder.

1, 3, 5, 9, 15, 45, 1033, 3099, 5165, 9297, 15495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46479 and 46485. The biggest common factor number is the GCF number.
So the greatest common factor 46479 and 46485 is 3.

Also check out the Least Common Multiple of 46479 and 46485