What is the Greatest Common Factor of 46470 and 46485?

Greatest common factor (GCF) of 46470 and 46485 is 15.

GCF(46470,46485) = 15

We will now calculate the prime factors of 46470 and 46485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46470 and 46485.

How to find the GCF of 46470 and 46485?

We will first find the prime factorization of 46470 and 46485. After we will calculate the factors of 46470 and 46485 and find the biggest common factor number .

Step-1: Prime Factorization of 46470

Prime factors of 46470 are 2, 3, 5, 1549. Prime factorization of 46470 in exponential form is:

46470 = 2¹ × 3¹ × 5¹ × 1549¹

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 46470

List of positive integer factors of 46470 that divides 46470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1549, 3098, 4647, 7745, 9294, 15490, 23235

Step-4: Factors of 46485

List of positive integer factors of 46485 that divides 46470 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 46470 and 46485. The biggest common factor number is the GCF number.
So the greatest common factor 46470 and 46485 is 15.

Also check out the Least Common Multiple of 46470 and 46485