What is the Greatest Common Factor of 46470 and 46475?

Greatest common factor (GCF) of 46470 and 46475 is 5.

GCF(46470,46475) = 5

We will now calculate the prime factors of 46470 and 46475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46470 and 46475.

How to find the GCF of 46470 and 46475?

We will first find the prime factorization of 46470 and 46475. After we will calculate the factors of 46470 and 46475 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 46475

Prime factors of 46475 are 5, 11, 13. Prime factorization of 46475 in exponential form is:

46475 = 5² × 11¹ × 13²

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 46475

List of positive integer factors of 46475 that divides 46470 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 169, 275, 325, 715, 845, 1859, 3575, 4225, 9295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46470 and 46475. The biggest common factor number is the GCF number.
So the greatest common factor 46470 and 46475 is 5.

Also check out the Least Common Multiple of 46470 and 46475